4596480000 has 960 divisors, whose sum is σ = 20468448000. Its totient is φ = 995328000.

The previous prime is 4596479897. The next prime is 4596480017. The reversal of 4596480000 is 846954.

4596480000 is a `hidden beast` number, since 4 + 5 + 9 + 648 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×4596480000² = 42255256780800000000, which contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 241919991 + ... + 241920009.

It is an arithmetic number, because the mean of its divisors is an integer number (21321300).

Almost surely, 2^4596480000 is an apocalyptic number.

4596480000 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 4596480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10234224000).

4596480000 is an abundant number, since it is smaller than the sum of its proper divisors (15871968000).

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

4596480000 is an equidigital number, since it uses as much as digits as its factorization.

4596480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4596480000 is about 67797.3450807626. The cubic root of 4596480000 is about 1662.6791786830.

The spelling of 4596480000 in words is "four billion, five hundred ninety-six million, four hundred eighty thousand".