975680640 has 640 divisors, whose sum is σ = 3998808000. Its totient is φ = 224501760.

The previous prime is 975680597. The next prime is 975680653. The reversal of 975680640 is 46086579.

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

It is a super-2 number, since 2×975680640² = 1903905422541619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 16536931 + ... + 16536989.

Almost surely, 2^975680640 is an apocalyptic number.

975680640 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 975680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999404000).

975680640 is an abundant number, since it is smaller than the sum of its proper divisors (3023127360).

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

975680640 is a wasteful number, since it uses less digits than its factorization.

975680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 975680640 is about 31235.8870531957. The cubic root of 975680640 is about 991.8269295710.

The spelling of 975680640 in words is "nine hundred seventy-five million, six hundred eighty thousand, six hundred forty".