7864457520 has 160 divisors (see below), whose sum is σ = 24658421760. Its totient is φ = 2073379840.

The previous prime is 7864457507. The next prime is 7864457593. The reversal of 7864457520 is 257544687.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7864457520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9578710 + ... + 9579530.

It is an arithmetic number, because the mean of its divisors is an integer number (154115136).

Almost surely, 2^7864457520 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 7864457520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12329210880).

7864457520 is an abundant number, since it is smaller than the sum of its proper divisors (16793964240).

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

7864457520 is a wasteful number, since it uses less digits than its factorization.

7864457520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The square root of 7864457520 is about 88681.7767075063. The cubic root of 7864457520 is about 1988.6403951767.

The spelling of 7864457520 in words is "seven billion, eight hundred sixty-four million, four hundred fifty-seven thousand, five hundred twenty".