7864825572 has 120 divisors (see below), whose sum is σ = 21867100640. Its totient is φ = 2457838080.

The previous prime is 7864825547. The next prime is 7864825637. The reversal of 7864825572 is 2755284687.

7864825572 is a `hidden beast` number, since 7 + 8 + 6 + 4 + 82 + 557 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 590547 + ... + 603717.

Almost surely, 2^7864825572 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 7864825572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10933550320).

7864825572 is an abundant number, since it is smaller than the sum of its proper divisors (14002275068).

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

7864825572 is a wasteful number, since it uses less digits than its factorization.

7864825572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13303 (or 13292 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The square root of 7864825572 is about 88683.8518108004. The cubic root of 7864825572 is about 1988.6714170942.

The spelling of 7864825572 in words is "seven billion, eight hundred sixty-four million, eight hundred twenty-five thousand, five hundred seventy-two".