674234668800 has 3240 divisors, whose sum is σ = 3356325181440. Its totient is φ = 131681894400.

The previous prime is 674234668771. The next prime is 674234668801. The reversal of 674234668800 is 8866432476.

674234668800 is a `hidden beast` number, since 67 + 42 + 3 + 466 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×674234668800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674234668801) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5308934337 + ... + 5308934463.

Almost surely, 2^674234668800 is an apocalyptic number.

674234668800 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 674234668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678162590720).

674234668800 is an abundant number, since it is smaller than the sum of its proper divisors (2682090512640).

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

674234668800 is a wasteful number, since it uses less digits than its factorization.

674234668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 674234668800 in words is "six hundred seventy-four billion, two hundred thirty-four million, six hundred sixty-eight thousand, eight hundred".