975468816 has 360 divisors, whose sum is σ = 3457546560. Its totient is φ = 250698240.

The previous prime is 975468811. The next prime is 975468827. The reversal of 975468816 is 618864579.

975468816 is a `hidden beast` number, since 9 + 7 + 546 + 88 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (975468811) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18405046 + ... + 18405098.

It is an arithmetic number, because the mean of its divisors is an integer number (9604296).

Almost surely, 2^975468816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 975468816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728773280).

975468816 is an abundant number, since it is smaller than the sum of its proper divisors (2482077744).

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

975468816 is a wasteful number, since it uses less digits than its factorization.

975468816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 115 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 975468816 is about 31232.4961538459. The cubic root of 975468816 is about 991.7551479023.

The spelling of 975468816 in words is "nine hundred seventy-five million, four hundred sixty-eight thousand, eight hundred sixteen".