4626416160 has 144 divisors (see below), whose sum is σ = 15820406784. Its totient is φ = 1231151616.

The previous prime is 4626416117. The next prime is 4626416257. The reversal of 4626416160 is 616146264.

4626416160 is a `hidden beast` number, since 4 + 6 + 2 + 641 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750049 + ... + 756191.

It is an arithmetic number, because the mean of its divisors is an integer number (109863936).

Almost surely, 2^4626416160 is an apocalyptic number.

4626416160 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 4626416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7910203392).

4626416160 is an abundant number, since it is smaller than the sum of its proper divisors (11193990624).

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

4626416160 is a wasteful number, since it uses less digits than its factorization.

4626416160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6687 (or 6676 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4626416160 is about 68017.7635621754. The cubic root of 4626416160 is about 1666.2809610567.

The spelling of 4626416160 in words is "four billion, six hundred twenty-six million, four hundred sixteen thousand, one hundred sixty".