674977765680 has 60 divisors (see below), whose sum is σ = 2266800332160. Its totient is φ = 179994070656.

The previous prime is 674977765639. The next prime is 674977765687. The reversal of 674977765680 is 86567779476.

It is a happy number.

674977765680 is a `hidden beast` number, since 6 + 7 + 497 + 7 + 7 + 6 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 674977765599 and 674977765608.

It is not an unprimeable number, because it can be changed into a prime (674977765687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468733840 + ... + 468735279.

It is an arithmetic number, because the mean of its divisors is an integer number (37780005536).

Almost surely, 2^674977765680 is an apocalyptic number.

674977765680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

674977765680 is an abundant number, since it is smaller than the sum of its proper divisors (1591822566480).

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

674977765680 is a wasteful number, since it uses less digits than its factorization.

674977765680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937469138 (or 937469129 counting only the distinct ones).

The product of its (nonzero) digits is 746807040, while the sum is 72.

The spelling of 674977765680 in words is "six hundred seventy-four billion, nine hundred seventy-seven million, seven hundred sixty-five thousand, six hundred eighty".