6412952342160 has 960 divisors, whose sum is σ = 27191425637376. Its totient is φ = 1318212403200.

The previous prime is 6412952342149. The next prime is 6412952342219. The reversal of 6412952342160 is 612432592146.

6412952342160 is a `hidden beast` number, since 6 + 4 + 1 + 29 + 523 + 42 + 1 + 60 = 666.

It is a super-2 number, since 2×6412952342160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2774967405 + ... + 2774969715.

Almost surely, 2^{6412952342160} is an apocalyptic number.

6412952342160 is a gapful number since it is divisible by the number (60) 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 6412952342160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13595712818688).

6412952342160 is an abundant number, since it is smaller than the sum of its proper divisors (20778473295216).

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

6412952342160 is a wasteful number, since it uses less digits than its factorization.

6412952342160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 6412952342160 in words is "six trillion, four hundred twelve billion, nine hundred fifty-two million, three hundred forty-two thousand, one hundred sixty".