9976537050480 has 1600 divisors, whose sum is σ = 47114384486400. Its totient is φ = 1889261936640.

The previous prime is 9976537050479. The next prime is 9976537050497. The reversal of 9976537050480 is 840507356799.

9976537050480 is a `hidden beast` number, since 9 + 9 + 7 + 6 + 53 + 70 + 504 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 512422186 + ... + 512441654.

It is an arithmetic number, because the mean of its divisors is an integer number (29446490304).

Almost surely, 2^{9976537050480} is an apocalyptic number.

9976537050480 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 9976537050480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23557192243200).

9976537050480 is an abundant number, since it is smaller than the sum of its proper divisors (37137847435920).

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

9976537050480 is a wasteful number, since it uses less digits than its factorization.

9976537050480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19604 (or 19589 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 9976537050480 in words is "nine trillion, nine hundred seventy-six billion, five hundred thirty-seven million, fifty thousand, four hundred eighty".