7979625600 has 192 divisors, whose sum is σ = 26343001440. Its totient is φ = 2123038720.

The previous prime is 7979625593. The next prime is 7979625611. The reversal of 7979625600 is 65269797.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6556192 + ... + 6557408.

Almost surely, 2^7979625600 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 7979625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13171500720).

7979625600 is an abundant number, since it is smaller than the sum of its proper divisors (18363375840).

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

7979625600 is a wasteful number, since it uses less digits than its factorization.

7979625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The square root of 7979625600 is about 89328.7501311868. The cubic root of 7979625600 is about 1998.3006899149.

The spelling of 7979625600 in words is "seven billion, nine hundred seventy-nine million, six hundred twenty-five thousand, six hundred".