674053818914304 has 480 divisors, whose sum is σ = 2031743272965120. Its totient is φ = 214862540046336.

The previous prime is 674053818914303. The next prime is 674053818914417. The reversal of 674053818914304 is 403419818350476.

674053818914304 is a `hidden beast` number, since 6 + 7 + 4 + 0 + 538 + 1 + 8 + 91 + 4 + 3 + 0 + 4 = 666.

It is a super-2 number, since 2×674053818914304² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674053818914303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10063926064 + ... + 10063993040.

It is an arithmetic number, because the mean of its divisors is an integer number (4232798485344).

Almost surely, 2^{674053818914304} is an apocalyptic number.

674053818914304 is a gapful number since it is divisible by the number (64) 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 674053818914304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015871636482560).

674053818914304 is an abundant number, since it is smaller than the sum of its proper divisors (1357689454050816).

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

674053818914304 is a wasteful number, since it uses less digits than its factorization.

674053818914304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67750 (or 67731 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 674053818914304 in words is "six hundred seventy-four trillion, fifty-three billion, eight hundred eighteen million, nine hundred fourteen thousand, three hundred four".