674586379958400 has 9216 divisors, whose sum is σ = 3420997042176000. Its totient is φ = 125963137843200.

The previous prime is 674586379958357. The next prime is 674586379958429. The reversal of 674586379958400 is 4859973685476.

674586379958400 is a `hidden beast` number, since 6 + 7 + 4 + 5 + 86 + 379 + 95 + 84 + 0 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 674586379958400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 5311703779137 + ... + 5311703779263.

It is an arithmetic number, because the mean of its divisors is an integer number (371201936000).

Almost surely, 2^{674586379958400} is an apocalyptic number.

674586379958400 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 674586379958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710498521088000).

674586379958400 is an abundant number, since it is smaller than the sum of its proper divisors (2746410662217600).

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

674586379958400 is a wasteful number, since it uses less digits than its factorization.

674586379958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 10973491200, while the sum is 81.

The spelling of 674586379958400 in words is "six hundred seventy-four trillion, five hundred eighty-six billion, three hundred seventy-nine million, nine hundred fifty-eight thousand, four hundred".