6542976792456 has 96 divisors (see below), whose sum is σ = 19549138092120. Its totient is φ = 1964120601600.

The previous prime is 6542976792449. The next prime is 6542976792493.

6542976792456 is a `hidden beast` number, since 6 + 5 + 4 + 29 + 7 + 67 + 92 + 456 = 666.

6542976792456 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2916123167556 + 3626853624900 = 1707666^2 + 1904430^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85209915 + ... + 85286666.

Almost surely, 2^{6542976792456} is an apocalyptic number.

It is an amenable number.

6542976792456 is an abundant number, since it is smaller than the sum of its proper divisors (13006161299664).

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

6542976792456 is a wasteful number, since it uses less digits than its factorization.

6542976792456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170496647 (or 170496640 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 72.

The spelling of 6542976792456 in words is "six trillion, five hundred forty-two billion, nine hundred seventy-six million, seven hundred ninety-two thousand, four hundred fifty-six".