7652874240 has 288 divisors, whose sum is σ = 28938546000. Its totient is φ = 1854996480.

The previous prime is 7652874233. The next prime is 7652874253. The reversal of 7652874240 is 424782567.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 1009986 + ... + 1017534.

Almost surely, 2^7652874240 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 7652874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14469273000).

7652874240 is an abundant number, since it is smaller than the sum of its proper divisors (21285671760).

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

7652874240 is a wasteful number, since it uses less digits than its factorization.

7652874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7593 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 7652874240 is about 87480.7078160665. The cubic root of 7652874240 is about 1970.6440763793.

The spelling of 7652874240 in words is "seven billion, six hundred fifty-two million, eight hundred seventy-four thousand, two hundred forty".