7855456896 has 256 divisors, whose sum is σ = 27412704000. Its totient is φ = 2166829056.

The previous prime is 7855456879. The next prime is 7855456913. The reversal of 7855456896 is 6986545587.

7855456896 is a `hidden beast` number, since 7 + 8 + 5 + 545 + 6 + 89 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (7855456879) and next prime (7855456913).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 695970 + ... + 707166.

It is an arithmetic number, because the mean of its divisors is an integer number (107080875).

Almost surely, 2^7855456896 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 7855456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13706352000).

7855456896 is an abundant number, since it is smaller than the sum of its proper divisors (19557247104).

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

7855456896 is a wasteful number, since it uses less digits than its factorization.

7855456896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11256 (or 11238 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The square root of 7855456896 is about 88631.0154291374. The cubic root of 7855456896 is about 1987.8814601389.

The spelling of 7855456896 in words is "seven billion, eight hundred fifty-five million, four hundred fifty-six thousand, eight hundred ninety-six".