7959618676152 has 384 divisors, whose sum is σ = 26448440578560. Its totient is φ = 2127951682560.

The previous prime is 7959618676103. The next prime is 7959618676159. The reversal of 7959618676152 is 2516768169597.

7959618676152 is a `hidden beast` number, since 7 + 9 + 596 + 18 + 6 + 7 + 6 + 15 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7959618676159) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309495198 + ... + 309520914.

It is an arithmetic number, because the mean of its divisors is an integer number (68876147340).

Almost surely, 2^{7959618676152} is an apocalyptic number.

7959618676152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7959618676152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13224220289280).

7959618676152 is an abundant number, since it is smaller than the sum of its proper divisors (18488821902408).

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

7959618676152 is a wasteful number, since it uses less digits than its factorization.

7959618676152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27083 (or 27076 counting only the distinct ones).

The product of its digits is 342921600, while the sum is 72.

The spelling of 7959618676152 in words is "seven trillion, nine hundred fifty-nine billion, six hundred eighteen million, six hundred seventy-six thousand, one hundred fifty-two".