8919629040 has 320 divisors, whose sum is σ = 33437859840. Its totient is φ = 1921397760.

The previous prime is 8919629029. The next prime is 8919629053. The reversal of 8919629040 is 409269198.

8919629040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8919629040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7245225 + ... + 7246455.

It is an arithmetic number, because the mean of its divisors is an integer number (104493312).

Almost surely, 2^8919629040 is an apocalyptic number.

8919629040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8919629040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16718929920).

8919629040 is an abundant number, since it is smaller than the sum of its proper divisors (24518230800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8919629040 is a wasteful number, since it uses less digits than its factorization.

8919629040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 8919629040 is about 94443.7877258213. The cubic root of 8919629040 is about 2073.8735098101.

The spelling of 8919629040 in words is "eight billion, nine hundred nineteen million, six hundred twenty-nine thousand, forty".