975563412480 has 176 divisors, whose sum is σ = 3466976715840. Its totient is φ = 260150206464.

The previous prime is 975563412457. The next prime is 975563412491. The reversal of 975563412480 is 84214365579.

It is a happy number.

975563412480 is a `hidden beast` number, since 9 + 7 + 5 + 56 + 341 + 248 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 3390274 + ... + 3666753.

It is an arithmetic number, because the mean of its divisors is an integer number (19698731340).

It is a 1-persistent number, because it is pandigital, but 2⋅975563412480 = 1951126824960 is not.

Almost surely, 2^975563412480 is an apocalyptic number.

975563412480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

975563412480 is an abundant number, since it is smaller than the sum of its proper divisors (2491413303360).

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

975563412480 is a wasteful number, since it uses less digits than its factorization.

975563412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7057061 (or 7057037 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 975563412480 in words is "nine hundred seventy-five billion, five hundred sixty-three million, four hundred twelve thousand, four hundred eighty".