8107402464 has 72 divisors (see below), whose sum is σ = 26349064560. Its totient is φ = 2316400128.

The previous prime is 8107402447. The next prime is 8107402481. The reversal of 8107402464 is 4642047018.

It is an interprime number because it is at equal distance from previous prime (8107402447) and next prime (8107402481).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2008749 + ... + 2012780.

It is an arithmetic number, because the mean of its divisors is an integer number (365959230).

Almost surely, 2^8107402464 is an apocalyptic number.

8107402464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8107402464 is an abundant number, since it is smaller than the sum of its proper divisors (18241662096).

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

8107402464 is a wasteful number, since it uses less digits than its factorization.

8107402464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021552 (or 4021541 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8107402464 is about 90041.1154084621. The cubic root of 8107402464 is about 2008.9104483340.

The spelling of 8107402464 in words is "eight billion, one hundred seven million, four hundred two thousand, four hundred sixty-four".