9977080713600 has 3072 divisors, whose sum is σ = 47136283084800. Its totient is φ = 1785043353600.

The previous prime is 9977080713569. The next prime is 9977080713641. The reversal of 9977080713600 is 63170807799.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25648022206 + ... + 25648022594.

It is an arithmetic number, because the mean of its divisors is an integer number (15343842150).

Almost surely, 2^{9977080713600} 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 9977080713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23568141542400).

9977080713600 is an abundant number, since it is smaller than the sum of its proper divisors (37159202371200).

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

9977080713600 is a wasteful number, since it uses less digits than its factorization.

9977080713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 57.

The spelling of 9977080713600 in words is "nine trillion, nine hundred seventy-seven billion, eighty million, seven hundred thirteen thousand, six hundred".