674645025600 has 2016 divisors, whose sum is σ = 3124423357440. Its totient is φ = 138579517440.

The previous prime is 674645025563. The next prime is 674645025623. The reversal of 674645025600 is 6520546476.

674645025600 is a `hidden beast` number, since 6 + 7 + 46 + 45 + 0 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2197540647 + ... + 2197540953.

Almost surely, 2^674645025600 is an apocalyptic number.

674645025600 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 674645025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562211678720).

674645025600 is an abundant number, since it is smaller than the sum of its proper divisors (2449778331840).

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

674645025600 is a wasteful number, since it uses less digits than its factorization.

674645025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 674645025600 in words is "six hundred seventy-four billion, six hundred forty-five million, twenty-five thousand, six hundred".