7985488896 has 704 divisors, whose sum is σ = 30687313920. Its totient is φ = 2007244800.

The previous prime is 7985488883. The next prime is 7985488919. The reversal of 7985488896 is 6988845897.

7985488896 is a `hidden beast` number, since 79 + 8 + 548 + 8 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (278691840) is a multiple of the sum of its prime divisors (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257596401 + ... + 257596431.

Almost surely, 2^7985488896 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 7985488896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15343656960).

7985488896 is an abundant number, since it is smaller than the sum of its proper divisors (22701825024).

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

7985488896 is a wasteful number, since it uses less digits than its factorization.

7985488896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 54 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 72.

The square root of 7985488896 is about 89361.5627437211. The cubic root of 7985488896 is about 1998.7900094424.

The spelling of 7985488896 in words is "seven billion, nine hundred eighty-five million, four hundred eighty-eight thousand, eight hundred ninety-six".