975361001472 has 1536 divisors, whose sum is σ = 3677338828800. Its totient is φ = 251088076800.

The previous prime is 975361001371. The next prime is 975361001477. The reversal of 975361001472 is 274100163579.

975361001472 is a `hidden beast` number, since 9 + 7 + 536 + 100 + 1 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is not an unprimeable number, because it can be changed into a prime (975361001477) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 5637924778 + ... + 5637924950.

It is an arithmetic number, because the mean of its divisors is an integer number (2394100800).

Almost surely, 2^975361001472 is an apocalyptic number.

975361001472 is a gapful number since it is divisible by the number (92) 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 975361001472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838669414400).

975361001472 is an abundant number, since it is smaller than the sum of its proper divisors (2701977827328).

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

975361001472 is a wasteful number, since it uses less digits than its factorization.

975361001472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 975361001472 in words is "nine hundred seventy-five billion, three hundred sixty-one million, one thousand, four hundred seventy-two".