975949793408 has 72 divisors (see below), whose sum is σ = 2014299784965. Its totient is φ = 470991700480.

The previous prime is 975949793407. The next prime is 975949793447. The reversal of 975949793408 is 804397949579.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 975369561664 + 580231744 = 987608^2 + 24088^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=698552.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (975949793407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 324126623 + ... + 324129633.

Almost surely, 2^975949793408 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 975949793408

975949793408 is an abundant number, since it is smaller than the sum of its proper divisors (1038349991557).

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

975949793408 is an frugal number, since it uses more digits than its factorization.

975949793408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6094 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 74.

The spelling of 975949793408 in words is "nine hundred seventy-five billion, nine hundred forty-nine million, seven hundred ninety-three thousand, four hundred eight".