4628630160 has 360 divisors, whose sum is σ = 19727862336. Its totient is φ = 961712640.

The previous prime is 4628630159. The next prime is 4628630161. The reversal of 4628630160 is 610368264.

4628630160 is a `hidden beast` number, since 4 + 6 + 2 + 8 + 630 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4628630159) and next prime (4628630161).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×4628630160³ (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4628630161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 382117 + ... + 394043.

Almost surely, 2^4628630160 is an apocalyptic number.

4628630160 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 4628630160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9863931168).

4628630160 is an abundant number, since it is smaller than the sum of its proper divisors (15099232176).

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

4628630160 is a wasteful number, since it uses less digits than its factorization.

4628630160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11971 (or 11955 counting only the distinct ones).

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

The square root of 4628630160 is about 68034.0367757198. The cubic root of 4628630160 is about 1666.5467216792.

The spelling of 4628630160 in words is "four billion, six hundred twenty-eight million, six hundred thirty thousand, one hundred sixty".