79749027705600 has 3888 divisors, whose sum is σ = 349022886043104. Its totient is φ = 17938199347200.

The previous prime is 79749027705553. The next prime is 79749027705601. The reversal of 79749027705600 is 650772094797.

79749027705600 is a `hidden beast` number, since 7 + 9 + 7 + 49 + 0 + 27 + 7 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is not an unprimeable number, because it can be changed into a prime (79749027705601) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 310307500672 + ... + 310307500928.

Almost surely, 2^{79749027705600} 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 79749027705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174511443021552).

79749027705600 is an abundant number, since it is smaller than the sum of its proper divisors (269273858337504).

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

79749027705600 is a wasteful number, since it uses less digits than its factorization.

79749027705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 46675440, while the sum is 63.

The spelling of 79749027705600 in words is "seventy-nine trillion, seven hundred forty-nine billion, twenty-seven million, seven hundred five thousand, six hundred".