676051825680 has 960 divisors, whose sum is σ = 2978295091200. Its totient is φ = 133316628480.

The previous prime is 676051825663. The next prime is 676051825699. The reversal of 676051825680 is 86528150676.

676051825680 is a `hidden beast` number, since 6 + 7 + 60 + 5 + 18 + 2 + 568 + 0 = 666.

It is a super-4 number, since 4×676051825680⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94854277 + ... + 94861403.

It is an arithmetic number, because the mean of its divisors is an integer number (3102390720).

Almost surely, 2^676051825680 is an apocalyptic number.

676051825680 is a gapful number since it is divisible by the number (60) 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 676051825680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489147545600).

676051825680 is an abundant number, since it is smaller than the sum of its proper divisors (2302243265520).

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

676051825680 is a wasteful number, since it uses less digits than its factorization.

676051825680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7252 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 676051825680 in words is "six hundred seventy-six billion, fifty-one million, eight hundred twenty-five thousand, six hundred eighty".