674505638438400 has 720 divisors, whose sum is σ = 2433640397760000. Its totient is φ = 178395849031680.

The previous prime is 674505638438381. The next prime is 674505638438509. The reversal of 674505638438400 is 4834836505476.

It is a happy number.

674505638438400 is a `hidden beast` number, since 6 + 7 + 4 + 505 + 6 + 3 + 8 + 43 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69187156726 + ... + 69187166474.

It is an arithmetic number, because the mean of its divisors is an integer number (3380056108000).

Almost surely, 2^{674505638438400} is an apocalyptic number.

674505638438400 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 674505638438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216820198880000).

674505638438400 is an abundant number, since it is smaller than the sum of its proper divisors (1759134759321600).

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

674505638438400 is a wasteful number, since it uses less digits than its factorization.

674505638438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14639 (or 14615 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 674505638438400 in words is "six hundred seventy-four trillion, five hundred five billion, six hundred thirty-eight million, four hundred thirty-eight thousand, four hundred".