674983184400 has 960 divisors, whose sum is σ = 2935954944000. Its totient is φ = 143768494080.

The previous prime is 674983184399. The next prime is 674983184431. The reversal of 674983184400 is 4481389476.

674983184400 is a `hidden beast` number, since 6 + 7 + 498 + 31 + 84 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 132373051 + ... + 132378149.

It is an arithmetic number, because the mean of its divisors is an integer number (3058286400).

Almost surely, 2^674983184400 is an apocalyptic number.

674983184400 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 674983184400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467977472000).

674983184400 is an abundant number, since it is smaller than the sum of its proper divisors (2260971759600).

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

674983184400 is a wasteful number, since it uses less digits than its factorization.

674983184400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5253 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 674983184400 in words is "six hundred seventy-four billion, nine hundred eighty-three million, one hundred eighty-four thousand, four hundred".