4688057088000 has 4608 divisors, whose sum is σ = 22501509488640. Its totient is φ = 955514880000.

The previous prime is 4688057087951. The next prime is 4688057088007. The reversal of 4688057088000 is 8807508864.

4688057088000 is a `hidden beast` number, since 4 + 68 + 8 + 0 + 570 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4688057088007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 151227647985 + ... + 151227648015.

It is an arithmetic number, because the mean of its divisors is an integer number (4883140080).

Almost surely, 2^{4688057088000} is an apocalyptic number.

4688057088000 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 4688057088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11250754744320).

4688057088000 is an abundant number, since it is smaller than the sum of its proper divisors (17813452400640).

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

4688057088000 is a wasteful number, since it uses less digits than its factorization.

4688057088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 4688057088000 in words is "four trillion, six hundred eighty-eight billion, fifty-seven million, eighty-eight thousand".