4600903680 has 432 divisors, whose sum is σ = 16930007640. Its totient is φ = 1198374912.

The previous prime is 4600903669. The next prime is 4600903717. The reversal of 4600903680 is 863090064.

4600903680 is a `hidden beast` number, since 460 + 0 + 90 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106997739 + ... + 106997781.

Almost surely, 2^4600903680 is an apocalyptic number.

4600903680 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 4600903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8465003820).

4600903680 is an abundant number, since it is smaller than the sum of its proper divisors (12329103960).

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

4600903680 is an frugal number, since it uses more digits than its factorization.

4600903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4600903680 is about 67829.9615214398. The cubic root of 4600903680 is about 1663.2123984758.

The spelling of 4600903680 in words is "four billion, six hundred million, nine hundred three thousand, six hundred eighty".