674361600 has 432 divisors, whose sum is σ = 2530504704. Its totient is φ = 156672000.

The previous prime is 674361581. The next prime is 674361607. The reversal of 674361600 is 6163476.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674361607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6547149 + ... + 6547251.

Almost surely, 2^674361600 is an apocalyptic number.

674361600 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 674361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265252352).

674361600 is an abundant number, since it is smaller than the sum of its proper divisors (1856143104).

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

674361600 is a wasteful number, since it uses less digits than its factorization.

674361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 674361600 is about 25968.4731934706. The cubic root of 674361600 is about 876.9286871341.

The spelling of 674361600 in words is "six hundred seventy-four million, three hundred sixty-one thousand, six hundred".