674995316400 has 360 divisors, whose sum is σ = 2404055974320. Its totient is φ = 175279104000.

The previous prime is 674995316389. The next prime is 674995316423. The reversal of 674995316400 is 4613599476.

674995316400 is a `hidden beast` number, since 6 + 7 + 49 + 9 + 531 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×674995316400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84275596 + ... + 84283604.

It is an arithmetic number, because the mean of its divisors is an integer number (6677933262).

Almost surely, 2^674995316400 is an apocalyptic number.

674995316400 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 674995316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202027987160).

674995316400 is an abundant number, since it is smaller than the sum of its proper divisors (1729060657920).

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

674995316400 is a wasteful number, since it uses less digits than its factorization.

674995316400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8645 (or 8631 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 674995316400 in words is "six hundred seventy-four billion, nine hundred ninety-five million, three hundred sixteen thousand, four hundred".