4172664960 has 384 divisors, whose sum is σ = 15626856960. Its totient is φ = 1021870080.

The previous prime is 4172664953. The next prime is 4172664989. The reversal of 4172664960 is 694662714.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4172664960² = 34822265736823603200, which 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 47 ways as a sum of consecutive naturals, for example, 4210065 + ... + 4211055.

It is an arithmetic number, because the mean of its divisors is an integer number (40694940).

Almost surely, 2^4172664960 is an apocalyptic number.

4172664960 is a gapful number since it is divisible by the number (40) 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 4172664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7813428480).

4172664960 is an abundant number, since it is smaller than the sum of its proper divisors (11454192000).

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

4172664960 is a wasteful number, since it uses less digits than its factorization.

4172664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4172664960 is about 64596.1683074159. The cubic root of 4172664960 is about 1609.9207759069.

The spelling of 4172664960 in words is "four billion, one hundred seventy-two million, six hundred sixty-four thousand, nine hundred sixty".