6408958961664 has 960 divisors, whose sum is σ = 22998261686400. Its totient is φ = 1739705942016.

The previous prime is 6408958961653. The next prime is 6408958961687. The reversal of 6408958961664 is 4661698598046.

6408958961664 is a `hidden beast` number, since 6 + 408 + 9 + 58 + 9 + 6 + 166 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6408958961592 and 6408958961601.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1847492922 + ... + 1847496390.

It is an arithmetic number, because the mean of its divisors is an integer number (23956522590).

Almost surely, 2^{6408958961664} is an apocalyptic number.

6408958961664 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 6408958961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11499130843200).

6408958961664 is an abundant number, since it is smaller than the sum of its proper divisors (16589302724736).

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

6408958961664 is a wasteful number, since it uses less digits than its factorization.

6408958961664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 6408958961664 in words is "six trillion, four hundred eight billion, nine hundred fifty-eight million, nine hundred sixty-one thousand, six hundred sixty-four".