7565256040 has 64 divisors (see below), whose sum is σ = 17766196560. Its totient is φ = 2896558080.

The previous prime is 7565256031. The next prime is 7565256043. The reversal of 7565256040 is 406525657.

It can be written as a sum of positive squares in 8 ways, for example, as 490091044 + 7075164996 = 22138^2 + 84114^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 7565255984 and 7565256002.

It is not an unprimeable number, because it can be changed into a prime (7565256043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43402 + ... + 130438.

Almost surely, 2^7565256040 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 7565256040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8883098280).

7565256040 is an abundant number, since it is smaller than the sum of its proper divisors (10200940520).

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

7565256040 is a wasteful number, since it uses less digits than its factorization.

7565256040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87142 (or 87138 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 40.

The square root of 7565256040 is about 86978.4803270326. The cubic root of 7565256040 is about 1963.0945181899.

The spelling of 7565256040 in words is "seven billion, five hundred sixty-five million, two hundred fifty-six thousand, forty".