975323220480 has 1920 divisors, whose sum is σ = 4258624930560. Its totient is φ = 210691031040.

The previous prime is 975323220479. The next prime is 975323220491. The reversal of 975323220480 is 84022323579.

975323220480 is a `hidden beast` number, since 9 + 7 + 532 + 32 + 2 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5388525990 + ... + 5388526170.

It is an arithmetic number, because the mean of its divisors is an integer number (2218033818).

Almost surely, 2^975323220480 is an apocalyptic number.

975323220480 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 975323220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129312465280).

975323220480 is an abundant number, since it is smaller than the sum of its proper divisors (3283301710080).

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

975323220480 is a wasteful number, since it uses less digits than its factorization.

975323220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 975323220480 in words is "nine hundred seventy-five billion, three hundred twenty-three million, two hundred twenty thousand, four hundred eighty".