7590500640 has 144 divisors (see below), whose sum is σ = 25929703800. Its totient is φ = 2022014976.

The previous prime is 7590500633. The next prime is 7590500651. The reversal of 7590500640 is 460050957.

7590500640 is a `hidden beast` number, since 7 + 5 + 9 + 0 + 5 + 0 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7438027536 + 152473104 = 86244^2 + 12348^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7590500595 and 7590500604.

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, 1767616 + ... + 1771904.

Almost surely, 2^7590500640 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 7590500640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12964851900).

7590500640 is an abundant number, since it is smaller than the sum of its proper divisors (18339203160).

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

7590500640 is a wasteful number, since it uses less digits than its factorization.

7590500640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5539 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 7590500640 is about 87123.4792693680. The cubic root of 7590500640 is about 1965.2756523342.

The spelling of 7590500640 in words is "seven billion, five hundred ninety million, five hundred thousand, six hundred forty".