674507347200 has 1296 divisors, whose sum is σ = 2648726720640. Its totient is φ = 169484451840.

The previous prime is 674507347139. The next prime is 674507347201. The reversal of 674507347200 is 2743705476.

674507347200 is a `hidden beast` number, since 6 + 74 + 507 + 3 + 4 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×674507347200² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674507347201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3898886314 + ... + 3898886486.

Almost surely, 2^674507347200 is an apocalyptic number.

674507347200 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 674507347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324363360320).

674507347200 is an abundant number, since it is smaller than the sum of its proper divisors (1974219373440).

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

674507347200 is a wasteful number, since it uses less digits than its factorization.

674507347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 674507347200 in words is "six hundred seventy-four billion, five hundred seven million, three hundred forty-seven thousand, two hundred".