7668024827904 has 1008 divisors, whose sum is σ = 26698877056800. Its totient is φ = 2156788187136.

The previous prime is 7668024827887. The next prime is 7668024827951. The reversal of 7668024827904 is 4097284208667.

7668024827904 is a `hidden beast` number, since 7 + 6 + 6 + 80 + 2 + 482 + 79 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×7668024827904² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33484824462 + ... + 33484824690.

Almost surely, 2^{7668024827904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7668024827904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13349438528400).

7668024827904 is an abundant number, since it is smaller than the sum of its proper divisors (19030852228896).

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

7668024827904 is an frugal number, since it uses more digits than its factorization.

7668024827904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 7668024827904 in words is "seven trillion, six hundred sixty-eight billion, twenty-four million, eight hundred twenty-seven thousand, nine hundred four".