975488677920 has 288 divisors, whose sum is σ = 3354071220864. Its totient is φ = 258163200000.

The previous prime is 975488677907. The next prime is 975488677921. The reversal of 975488677920 is 29776884579.

975488677920 is a `hidden beast` number, since 9 + 7 + 548 + 8 + 6 + 7 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (975488677921) 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, 433356795 + ... + 433359045.

It is an arithmetic number, because the mean of its divisors is an integer number (11646080628).

Almost surely, 2^975488677920 is an apocalyptic number.

975488677920 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 975488677920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677035610432).

975488677920 is an abundant number, since it is smaller than the sum of its proper divisors (2378582542944).

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

975488677920 is a wasteful number, since it uses less digits than its factorization.

975488677920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 975488677920 in words is "nine hundred seventy-five billion, four hundred eighty-eight million, six hundred seventy-seven thousand, nine hundred twenty".