4688721676800 has 1200 divisors, whose sum is σ = 20017671822720. Its totient is φ = 1061696471040.

The previous prime is 4688721676787. The next prime is 4688721676801. The reversal of 4688721676800 is 86761278864.

4688721676800 is a `hidden beast` number, since 468 + 8 + 7 + 2 + 167 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×4688721676800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4688721676801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 791075437 + ... + 791081363.

Almost surely, 2^{4688721676800} is an apocalyptic number.

4688721676800 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 4688721676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10008835911360).

4688721676800 is an abundant number, since it is smaller than the sum of its proper divisors (15328950145920).

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

4688721676800 is a wasteful number, since it uses less digits than its factorization.

4688721676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6083 (or 6053 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 4688721676800 in words is "four trillion, six hundred eighty-eight billion, seven hundred twenty-one million, six hundred seventy-six thousand, eight hundred".