674463928320 has 1248 divisors, whose sum is σ = 2919508300800. Its totient is φ = 140227117056.

The previous prime is 674463928319. The next prime is 674463928321. The reversal of 674463928320 is 23829364476.

674463928320 is a `hidden beast` number, since 6 + 74 + 463 + 92 + 8 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (674463928319) and next prime (674463928321).

It is a tau number, because it is divible by the number of its divisors (1248).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674463928321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1325076226 + ... + 1325076734.

It is an arithmetic number, because the mean of its divisors is an integer number (2339349600).

Almost surely, 2^674463928320 is an apocalyptic number.

674463928320 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 674463928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459754150400).

674463928320 is an abundant number, since it is smaller than the sum of its proper divisors (2245044372480).

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

674463928320 is a wasteful number, since it uses less digits than its factorization.

674463928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 674463928320 in words is "six hundred seventy-four billion, four hundred sixty-three million, nine hundred twenty-eight thousand, three hundred twenty".