7671400616 has 64 divisors (see below), whose sum is σ = 16426229760. Its totient is φ = 3326904000.

The previous prime is 7671400573. The next prime is 7671400679. The reversal of 7671400616 is 6160041767.

It is a super-2 number, since 2×7671400616² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7671400616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173885 + ... + 213491.

It is an arithmetic number, because the mean of its divisors is an integer number (256659840).

Almost surely, 2^7671400616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7671400616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8213114880).

7671400616 is an abundant number, since it is smaller than the sum of its proper divisors (8754829144).

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

7671400616 is a wasteful number, since it uses less digits than its factorization.

7671400616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39726 (or 39722 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 7671400616 is about 87586.5321610577. The cubic root of 7671400616 is about 1972.2329988686.

The spelling of 7671400616 in words is "seven billion, six hundred seventy-one million, four hundred thousand, six hundred sixteen".