6417956160 has 672 divisors, whose sum is σ = 28474172160. Its totient is φ = 1332080640.

The previous prime is 6417956143. The next prime is 6417956177. The reversal of 6417956160 is 616597146.

It is an interprime number because it is at equal distance from previous prime (6417956143) and next prime (6417956177).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×6417956160² = 82380322543363891200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7317642 + ... + 7318518.

It is an arithmetic number, because the mean of its divisors is an integer number (42372280).

Almost surely, 2^6417956160 is an apocalyptic number.

6417956160 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 6417956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14237086080).

6417956160 is an abundant number, since it is smaller than the sum of its proper divisors (22056216000).

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

6417956160 is a wasteful number, since it uses less digits than its factorization.

6417956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 6417956160 is about 80112.1473935133. The cubic root of 6417956160 is about 1858.3702685968.

The spelling of 6417956160 in words is "six billion, four hundred seventeen million, nine hundred fifty-six thousand, one hundred sixty".