975667230720 has 2304 divisors, whose sum is σ = 4546668672000. Its totient is φ = 193778417664.

The previous prime is 975667230689. The next prime is 975667230721. The reversal of 975667230720 is 27032766579.

975667230720 is a `hidden beast` number, since 9 + 7 + 566 + 7 + 2 + 3 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975667230721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6214440882 + ... + 6214441038.

It is an arithmetic number, because the mean of its divisors is an integer number (1973380500).

Almost surely, 2^975667230720 is an apocalyptic number.

975667230720 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 975667230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273334336000).

975667230720 is an abundant number, since it is smaller than the sum of its proper divisors (3571001441280).

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

975667230720 is a wasteful number, since it uses less digits than its factorization.

975667230720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 975667230720 in words is "nine hundred seventy-five billion, six hundred sixty-seven million, two hundred thirty thousand, seven hundred twenty".