7865456896 has 108 divisors (see below), whose sum is σ = 17816092672. Its totient is φ = 3459456000.

The previous prime is 7865456881. The next prime is 7865456941. The reversal of 7865456896 is 6986545687.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 956161 + ... + 964351.

Almost surely, 2^7865456896 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 7865456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8908046336).

7865456896 is an abundant number, since it is smaller than the sum of its proper divisors (9950635776).

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

7865456896 is a wasteful number, since it uses less digits than its factorization.

7865456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8260 (or 8235 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 64.

The square root of 7865456896 is about 88687.4111472423. The cubic root of 7865456896 is about 1988.7246271067.

The spelling of 7865456896 in words is "seven billion, eight hundred sixty-five million, four hundred fifty-six thousand, eight hundred ninety-six".