7950574080 has 240 divisors, whose sum is σ = 27991416024. Its totient is φ = 2085027840.

The previous prime is 7950574039. The next prime is 7950574091. The reversal of 7950574080 is 804750597.

7950574080 is a `hidden beast` number, since 79 + 5 + 0 + 574 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2336368896 + 5614205184 = 48336^2 + 74928^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1402612 + ... + 1408268.

Almost surely, 2^7950574080 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 7950574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13995708012).

7950574080 is an abundant number, since it is smaller than the sum of its proper divisors (20040841944).

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

7950574080 is a wasteful number, since it uses less digits than its factorization.

7950574080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 7950574080 is about 89165.9917233022. The cubic root of 7950574080 is about 1995.8726617318.

The spelling of 7950574080 in words is "seven billion, nine hundred fifty million, five hundred seventy-four thousand, eighty".