4688079897600 has 1320 divisors, whose sum is σ = 19344885740928. Its totient is φ = 1112068915200.

The previous prime is 4688079897577. The next prime is 4688079897649. The reversal of 4688079897600 is 67989708864.

4688079897600 is a `hidden beast` number, since 4 + 6 + 8 + 8 + 0 + 7 + 9 + 8 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1072049014 + ... + 1072053386.

Almost surely, 2^{4688079897600} is an apocalyptic number.

4688079897600 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 4688079897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9672442870464).

4688079897600 is an abundant number, since it is smaller than the sum of its proper divisors (14656805843328).

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

4688079897600 is a wasteful number, since it uses less digits than its factorization.

4688079897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4473 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 4688079897600 in words is "four trillion, six hundred eighty-eight billion, seventy-nine million, eight hundred ninety-seven thousand, six hundred".