6349879574784 has 144 divisors (see below), whose sum is σ = 18779818559040. Its totient is φ = 2116388966400.

The previous prime is 6349879574777. The next prime is 6349879574803. The reversal of 6349879574784 is 4874759789436.

6349879574784 is a `hidden beast` number, since 6 + 3 + 4 + 98 + 7 + 9 + 57 + 478 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6349879574784² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68043484 + ... + 68136740.

It is an arithmetic number, because the mean of its divisors is an integer number (130415406660).

Almost surely, 2^{6349879574784} is an apocalyptic number.

6349879574784 is a gapful number since it is divisible by the number (64) 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 6349879574784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9389909279520).

6349879574784 is an abundant number, since it is smaller than the sum of its proper divisors (12429938984256).

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

6349879574784 is an equidigital number, since it uses as much as digits as its factorization.

6349879574784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103133 (or 103113 counting only the distinct ones).

The product of its digits is 10241925120, while the sum is 81.

The spelling of 6349879574784 in words is "six trillion, three hundred forty-nine billion, eight hundred seventy-nine million, five hundred seventy-four thousand, seven hundred eighty-four".