4620612768800 has 576 divisors, whose sum is σ = 13459602530304. Its totient is φ = 1515685478400.

The previous prime is 4620612768791. The next prime is 4620612768817. The reversal of 4620612768800 is 88672160264.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8007994112 + ... + 8007994688.

It is an arithmetic number, because the mean of its divisors is an integer number (23367365504).

Almost surely, 2^{4620612768800} is an apocalyptic number.

4620612768800 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 4620612768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729801265152).

4620612768800 is an abundant number, since it is smaller than the sum of its proper divisors (8838989761504).

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

4620612768800 is a wasteful number, since it uses less digits than its factorization.

4620612768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 4620612768800 in words is "four trillion, six hundred twenty billion, six hundred twelve million, seven hundred sixty-eight thousand, eight hundred".