975364401930240 has 672 divisors, whose sum is σ = 3676480395137280. Its totient is φ = 220118296559616.

The previous prime is 975364401930221. The next prime is 975364401930241. The reversal of 975364401930240 is 42039104463579.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (975364401930241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474643224 + ... + 476693736.

Almost surely, 2^{975364401930240} 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 975364401930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838240197568640).

975364401930240 is an abundant number, since it is smaller than the sum of its proper divisors (2701115993207040).

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

975364401930240 is a wasteful number, since it uses less digits than its factorization.

975364401930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050640 (or 2050609 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 975364401930240 in words is "nine hundred seventy-five trillion, three hundred sixty-four billion, four hundred one million, nine hundred thirty thousand, two hundred forty".