7564992008 has 108 divisors (see below), whose sum is σ = 17339544495. Its totient is φ = 3084940320.

The previous prime is 7564992007. The next prime is 7564992037. The reversal of 7564992008 is 8002994657.

It is a happy number.

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 only one way, i.e., 3782496004 + 3782496004 = 61502^2 + 61502^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=61502.

It is a super-2 number, since 2×7564992008² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7564992007) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39607193 + ... + 39607383.

Almost surely, 2^7564992008 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 7564992008

7564992008 is an abundant number, since it is smaller than the sum of its proper divisors (9774552487).

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

7564992008 is a wasteful number, since it uses less digits than its factorization.

7564992008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The square root of 7564992008 is about 86976.9625130701. The cubic root of 7564992008 is about 1963.0716801965.

Multiplying 7564992008 by its sum of digits (50), we get a square (378249600400 = 615020²).

The spelling of 7564992008 in words is "seven billion, five hundred sixty-four million, nine hundred ninety-two thousand, eight".