9977656945680 has 320 divisors, whose sum is σ = 35310289996800. Its totient is φ = 2588102737920.

The previous prime is 9977656945657. The next prime is 9977656945687. The reversal of 9977656945680 is 865496567799.

9977656945680 is a `hidden beast` number, since 9 + 9 + 7 + 7 + 6 + 569 + 45 + 6 + 8 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 9977656945680.

It is not an unprimeable number, because it can be changed into a prime (9977656945687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29677561 + ... + 30011879.

It is an arithmetic number, because the mean of its divisors is an integer number (110344656240).

Almost surely, 2^{9977656945680} is an apocalyptic number.

9977656945680 is a gapful number since it is divisible by the number (90) 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 9977656945680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17655144998400).

9977656945680 is an abundant number, since it is smaller than the sum of its proper divisors (25332633051120).

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

9977656945680 is a wasteful number, since it uses less digits than its factorization.

9977656945680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334719 (or 334707 counting only the distinct ones).

The product of its (nonzero) digits is 6172588800, while the sum is 81.

The spelling of 9977656945680 in words is "nine trillion, nine hundred seventy-seven billion, six hundred fifty-six million, nine hundred forty-five thousand, six hundred eighty".