4613838652800 has 1152 divisors, whose sum is σ = 17978373372960. Its totient is φ = 1119916523520.

The previous prime is 4613838652793. The next prime is 4613838652879. The reversal of 4613838652800 is 82568383164.

4613838652800 is a `hidden beast` number, since 4 + 6 + 1 + 38 + 3 + 86 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×4613838652800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15028790247 + ... + 15028790553.

Almost surely, 2^{4613838652800} is an apocalyptic number.

4613838652800 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 4613838652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8989186686480).

4613838652800 is an abundant number, since it is smaller than the sum of its proper divisors (13364534720160).

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

4613838652800 is a wasteful number, since it uses less digits than its factorization.

4613838652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4613838652800 in words is "four trillion, six hundred thirteen billion, eight hundred thirty-eight million, six hundred fifty-two thousand, eight hundred".