7864144480 has 48 divisors (see below), whose sum is σ = 19178377344. Its totient is φ = 3044183040.

The previous prime is 7864144471. The next prime is 7864144493. The reversal of 7864144480 is 844414687.

It is a self number, because there is not a number n which added to its sum of digits gives 7864144480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 787797 + ... + 797716.

It is an arithmetic number, because the mean of its divisors is an integer number (399549528).

Almost surely, 2^7864144480 is an apocalyptic number.

It is an amenable number.

7864144480 is an abundant number, since it is smaller than the sum of its proper divisors (11314232864).

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

7864144480 is a wasteful number, since it uses less digits than its factorization.

7864144480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585559 (or 1585551 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 46.

The square root of 7864144480 is about 88680.0117275590. The cubic root of 7864144480 is about 1988.6140092817.

The spelling of 7864144480 in words is "seven billion, eight hundred sixty-four million, one hundred forty-four thousand, four hundred eighty".