975152640 has 640 divisors, whose sum is σ = 4157733888. Its totient is φ = 188743680.

The previous prime is 975152611. The next prime is 975152681. The reversal of 975152640 is 46251579.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10053072 + ... + 10053168.

Almost surely, 2^975152640 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 975152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078866944).

975152640 is an abundant number, since it is smaller than the sum of its proper divisors (3182581248).

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

975152640 is a wasteful number, since it uses less digits than its factorization.

975152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 975152640 is about 31227.4340924771. The cubic root of 975152640 is about 991.6479847087.

The spelling of 975152640 in words is "nine hundred seventy-five million, one hundred fifty-two thousand, six hundred forty".