7613641872 has 160 divisors (see below), whose sum is σ = 22339522560. Its totient is φ = 2482099200.

The previous prime is 7613641853. The next prime is 7613641883. The reversal of 7613641872 is 2781463167.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4004122 + ... + 4006022.

It is an arithmetic number, because the mean of its divisors is an integer number (139622016).

Almost surely, 2^7613641872 is an apocalyptic number.

7613641872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7613641872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11169761280).

7613641872 is an abundant number, since it is smaller than the sum of its proper divisors (14725880688).

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

7613641872 is a wasteful number, since it uses less digits than its factorization.

7613641872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2106 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7613641872 is about 87256.1852936512. The cubic root of 7613641872 is about 1967.2708110539.

The spelling of 7613641872 in words is "seven billion, six hundred thirteen million, six hundred forty-one thousand, eight hundred seventy-two".