7951616640 has 384 divisors, whose sum is σ = 30963038400. Its totient is φ = 1927157760.

The previous prime is 7951616593. The next prime is 7951616681. The reversal of 7951616640 is 466161597.

7951616640 is a `hidden beast` number, since 79 + 516 + 1 + 6 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2088979 + ... + 2092781.

Almost surely, 2^7951616640 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 7951616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15481519200).

7951616640 is an abundant number, since it is smaller than the sum of its proper divisors (23011421760).

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

7951616640 is a wasteful number, since it uses less digits than its factorization.

7951616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 7951616640 is about 89171.8377067558. The cubic root of 7951616640 is about 1995.9598976150.

The spelling of 7951616640 in words is "seven billion, nine hundred fifty-one million, six hundred sixteen thousand, six hundred forty".