6945019920 has 160 divisors (see below), whose sum is σ = 23989655040. Its totient is φ = 1846748160.

The previous prime is 6945019919. The next prime is 6945019957. The reversal of 6945019920 is 299105496.

6945019920 is a `hidden beast` number, since 6 + 9 + 450 + 199 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788340 + ... + 797100.

It is an arithmetic number, because the mean of its divisors is an integer number (149935344).

Almost surely, 2^6945019920 is an apocalyptic number.

6945019920 is a gapful number since it is divisible by the number (60) 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 6945019920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11994827520).

6945019920 is an abundant number, since it is smaller than the sum of its proper divisors (17044635120).

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

6945019920 is a wasteful number, since it uses less digits than its factorization.

6945019920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9150 (or 9138 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 6945019920 is about 83336.7861151365. The cubic root of 6945019920 is about 1907.9097698717.

The spelling of 6945019920 in words is "six billion, nine hundred forty-five million, nineteen thousand, nine hundred twenty".