7864365072 has 20 divisors (see below), whose sum is σ = 20316276560. Its totient is φ = 2621455008.

The previous prime is 7864365023. The next prime is 7864365079. The reversal of 7864365072 is 2705634687.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 163840939 = 7864365072 / (7 + 8 + 6 + 4 + 3 + 6 + 5 + 0 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (7864365079) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 81920422 + ... + 81920517.

It is an arithmetic number, because the mean of its divisors is an integer number (1015813828).

Almost surely, 2^7864365072 is an apocalyptic number.

It is an amenable number.

7864365072 is an abundant number, since it is smaller than the sum of its proper divisors (12451911488).

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

7864365072 is a wasteful number, since it uses less digits than its factorization.

7864365072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163840950 (or 163840944 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The square root of 7864365072 is about 88681.2554714918. The cubic root of 7864365072 is about 1988.6326028805.

The spelling of 7864365072 in words is "seven billion, eight hundred sixty-four million, three hundred sixty-five thousand, seventy-two".