7856590464 has 224 divisors, whose sum is σ = 23629457700. Its totient is φ = 2600792064.

The previous prime is 7856590439. The next prime is 7856590507. The reversal of 7856590464 is 4640956587.

7856590464 is a `hidden beast` number, since 7 + 8 + 5 + 6 + 590 + 46 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5235969600 + 2620620864 = 72360^2 + 51192^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7856590464.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 25100772 + ... + 25101084.

Almost surely, 2^7856590464 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 7856590464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11814728850).

7856590464 is an abundant number, since it is smaller than the sum of its proper divisors (15772867236).

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

7856590464 is an equidigital number, since it uses as much as digits as its factorization.

7856590464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 7856590464 is about 88637.4100704663. The cubic root of 7856590464 is about 1987.9770747950.

The spelling of 7856590464 in words is "seven billion, eight hundred fifty-six million, five hundred ninety thousand, four hundred sixty-four".