7644706578579 has 48 divisors (see below), whose sum is σ = 11867064938496. Its totient is φ = 4364732937600.

The previous prime is 7644706578569. The next prime is 7644706578611. The reversal of 7644706578579 is 9758756074467.

It is not a de Polignac number, because 7644706578579 - 2⁴ = 7644706578563 is a prime.

It is a super-3 number, since 3×7644706578579³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7644706578579.

It is not an unprimeable number, because it can be changed into a prime (7644706578559) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1351368319 + ... + 1351373975.

It is an arithmetic number, because the mean of its divisors is an integer number (247230519552).

Almost surely, 2^{7644706578579} is an apocalyptic number.

7644706578579 is a deficient number, since it is larger than the sum of its proper divisors (4222358359917).

7644706578579 is a wasteful number, since it uses less digits than its factorization.

7644706578579 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11776 (or 11769 counting only the distinct ones).

The product of its (nonzero) digits is 2489356800, while the sum is 75.

The spelling of 7644706578579 in words is "seven trillion, six hundred forty-four billion, seven hundred six million, five hundred seventy-eight thousand, five hundred seventy-nine".