7849872640 has 72 divisors (see below), whose sum is σ = 19311201000. Its totient is φ = 3055067136.

The previous prime is 7849872631. The next prime is 7849872659. The reversal of 7849872640 is 462789487.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4949403904 + 2900468736 = 70352^2 + 53856^2 .

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, 35515 + ... + 130234.

It is an arithmetic number, because the mean of its divisors is an integer number (268211125).

Almost surely, 2^7849872640 is an apocalyptic number.

It is an amenable number.

7849872640 is an abundant number, since it is smaller than the sum of its proper divisors (11461328360).

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

7849872640 is a wasteful number, since it uses less digits than its factorization.

7849872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165807 (or 165793 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The square root of 7849872640 is about 88599.5069963710. The cubic root of 7849872640 is about 1987.4103027173.

The spelling of 7849872640 in words is "seven billion, eight hundred forty-nine million, eight hundred seventy-two thousand, six hundred forty".