7864489920 has 112 divisors (see below), whose sum is σ = 28536887808. Its totient is φ = 1797596160.

The previous prime is 7864489909. The next prime is 7864489921. The reversal of 7864489920 is 299844687.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7864489921) 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, 578436 + ... + 591875.

Almost surely, 2^7864489920 is an apocalyptic number.

7864489920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7864489920 is an abundant number, since it is smaller than the sum of its proper divisors (20672397888).

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

7864489920 is a wasteful number, since it uses less digits than its factorization.

7864489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170338 (or 1170328 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The square root of 7864489920 is about 88681.9593829545. The cubic root of 7864489920 is about 1988.6431261072.

The spelling of 7864489920 in words is "seven billion, eight hundred sixty-four million, four hundred eighty-nine thousand, nine hundred twenty".