7668276421680 has 400 divisors, whose sum is σ = 30442937152320. Its totient is φ = 1752452112384.

The previous prime is 7668276421667. The next prime is 7668276421691. The reversal of 7668276421680 is 861246728667.

7668276421680 is a `hidden beast` number, since 7 + 6 + 6 + 82 + 76 + 421 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 377793292 + ... + 377813588.

Almost surely, 2^{7668276421680} is an apocalyptic number.

7668276421680 is a gapful number since it is divisible by the number (70) 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 7668276421680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15221468576160).

7668276421680 is an abundant number, since it is smaller than the sum of its proper divisors (22774660730640).

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

7668276421680 is a wasteful number, since it uses less digits than its factorization.

7668276421680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28658 (or 28643 counting only the distinct ones).

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

The spelling of 7668276421680 in words is "seven trillion, six hundred sixty-eight billion, two hundred seventy-six million, four hundred twenty-one thousand, six hundred eighty".