7639646248081 has 27 divisors (see below), whose sum is σ = 7957310053833. Its totient is φ = 7334415957960.

The previous prime is 7639646248007. The next prime is 7639646248133. The reversal of 7639646248081 is 1808426469367.

The square root of 7639646248081 is 2763991.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 7639646248081 - 2⁷ = 7639646247953 is a prime.

It is a super-2 number, since 2×7639646248081² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7639646248001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13966446250 + ... + 13966446796.

It is an arithmetic number, because the mean of its divisors is an integer number (294715187179).

Almost surely, 2^{7639646248081} is an apocalyptic number.

7639646248081 is the 2763991-st square number.

7639646248081 is the 1381996-th centered octagonal number.

It is an amenable number.

7639646248081 is a deficient number, since it is larger than the sum of its proper divisors (317663805752).

7639646248081 is an frugal number, since it uses more digits than its factorization.

7639646248081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 64.

Multiplying 7639646248081 by its sum of digits (64), we get a square (488937359877184 = 22111928²).

The spelling of 7639646248081 in words is "seven trillion, six hundred thirty-nine billion, six hundred forty-six million, two hundred forty-eight thousand, eighty-one".