3168679704960 has 1024 divisors, whose sum is σ = 12752361308160. Its totient is φ = 650126131200.

The previous prime is 3168679704959. The next prime is 3168679704979. The reversal of 3168679704960 is 694079768613.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 3168679704891 and 3168679704900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4897495357 + ... + 4897496003.

It is an arithmetic number, because the mean of its divisors is an integer number (12453477840).

Almost surely, 2^{3168679704960} is an apocalyptic number.

3168679704960 is a gapful number since it is divisible by the number (30) 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 3168679704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376180654080).

3168679704960 is an abundant number, since it is smaller than the sum of its proper divisors (9583681603200).

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

3168679704960 is a wasteful number, since it uses less digits than its factorization.

3168679704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 66.

The spelling of 3168679704960 in words is "three trillion, one hundred sixty-eight billion, six hundred seventy-nine million, seven hundred four thousand, nine hundred sixty".