6477972315840 has 168 divisors, whose sum is σ = 23454237683760. Its totient is φ = 1636540360704.

The previous prime is 6477972315791. The next prime is 6477972315907. The reversal of 6477972315840 is 485132797746.

6477972315840 is a `hidden beast` number, since 6 + 47 + 7 + 9 + 7 + 2 + 3 + 1 + 584 + 0 = 666.

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, 59137279 + ... + 59246718.

It is a 1-persistent number, because it is pandigital, but 2⋅6477972315840 = 12955944631680 is not.

Almost surely, 2^{6477972315840} is an apocalyptic number.

6477972315840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6477972315840 is an abundant number, since it is smaller than the sum of its proper divisors (16976265367920).

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

6477972315840 is a wasteful number, since it uses less digits than its factorization.

6477972315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118384039 (or 118384026 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 6477972315840 in words is "six trillion, four hundred seventy-seven billion, nine hundred seventy-two million, three hundred fifteen thousand, eight hundred forty".