674763264 has 320 divisors, whose sum is σ = 2409369600. Its totient is φ = 182145024.

The previous prime is 674763247. The next prime is 674763277. The reversal of 674763264 is 462367476.

674763264 is a `hidden beast` number, since 6 + 7 + 4 + 7 + 632 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1838409 + ... + 1838775.

It is an arithmetic number, because the mean of its divisors is an integer number (7529280).

Almost surely, 2^674763264 is an apocalyptic number.

674763264 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 674763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204684800).

674763264 is an abundant number, since it is smaller than the sum of its proper divisors (1734606336).

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

674763264 is a wasteful number, since it uses less digits than its factorization.

674763264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 398 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 674763264 is about 25976.2057275500. The cubic root of 674763264 is about 877.1027583225.

The spelling of 674763264 in words is "six hundred seventy-four million, seven hundred sixty-three thousand, two hundred sixty-four".