7896456288 has 192 divisors, whose sum is σ = 26477176320. Its totient is φ = 2242791936.

The previous prime is 7896456247. The next prime is 7896456331. The reversal of 7896456288 is 8826546987.

7896456288 is a `hidden beast` number, since 7 + 8 + 9 + 64 + 562 + 8 + 8 = 666.

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

It is a congruent number.

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, 1042531 + ... + 1050077.

It is an arithmetic number, because the mean of its divisors is an integer number (137901960).

Almost surely, 2^7896456288 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 7896456288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13238588160).

7896456288 is an abundant number, since it is smaller than the sum of its proper divisors (18580720032).

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

7896456288 is a wasteful number, since it uses less digits than its factorization.

7896456288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7746 (or 7732 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The square root of 7896456288 is about 88862.0069996171. The cubic root of 7896456288 is about 1991.3338605842. Note that the first 3 decimals are identical.

The spelling of 7896456288 in words is "seven billion, eight hundred ninety-six million, four hundred fifty-six thousand, two hundred eighty-eight".