9720658975104 has 384 divisors, whose sum is σ = 35019226344960. Its totient is φ = 2514364416000.

The previous prime is 9720658975099. The next prime is 9720658975147. The reversal of 9720658975104 is 4015798560279.

9720658975104 is a `hidden beast` number, since 9 + 7 + 20 + 6 + 5 + 8 + 97 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21150309 + ... + 21605019.

It is an arithmetic number, because the mean of its divisors is an integer number (91195901940).

Almost surely, 2^{9720658975104} 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 9720658975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17509613172480).

9720658975104 is an abundant number, since it is smaller than the sum of its proper divisors (25298567369856).

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

9720658975104 is a wasteful number, since it uses less digits than its factorization.

9720658975104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454990 (or 454975 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 9720658975104 in words is "nine trillion, seven hundred twenty billion, six hundred fifty-eight million, nine hundred seventy-five thousand, one hundred four".