674673456441600 has 5184 divisors, whose sum is σ = 3223053231390720. Its totient is φ = 131514679296000.

The previous prime is 674673456441557. The next prime is 674673456441623. The reversal of 674673456441600 is 6144654376476.

674673456441600 is a `hidden beast` number, since 6 + 7 + 4 + 6 + 7 + 3 + 4 + 564 + 4 + 1 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1294958649340 + ... + 1294958649860.

Almost surely, 2^{674673456441600} is an apocalyptic number.

674673456441600 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 674673456441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611526615695360).

674673456441600 is an abundant number, since it is smaller than the sum of its proper divisors (2548379774949120).

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

674673456441600 is a wasteful number, since it uses less digits than its factorization.

674673456441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 63.

The spelling of 674673456441600 in words is "six hundred seventy-four trillion, six hundred seventy-three billion, four hundred fifty-six million, four hundred forty-one thousand, six hundred".