647891513664 has 224 divisors, whose sum is σ = 1778855715840. Its totient is φ = 208004087808.

The previous prime is 647891513651. The next prime is 647891513693. The reversal of 647891513664 is 466315198746.

647891513664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 647891513598 and 647891513607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146480157 + ... + 146484579.

It is an arithmetic number, because the mean of its divisors is an integer number (7941320160).

Almost surely, 2^647891513664 is an apocalyptic number.

647891513664 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 647891513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889427857920).

647891513664 is an abundant number, since it is smaller than the sum of its proper divisors (1130964202176).

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

647891513664 is a wasteful number, since it uses less digits than its factorization.

647891513664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757 (or 4747 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 60.

The spelling of 647891513664 in words is "six hundred forty-seven billion, eight hundred ninety-one million, five hundred thirteen thousand, six hundred sixty-four".