674237794636224 has 2016 divisors, whose sum is σ = 2652386065539840. Its totient is φ = 166424155656192.

The previous prime is 674237794636187. The next prime is 674237794636229. The reversal of 674237794636224 is 422636497732476.

674237794636224 is a `hidden beast` number, since 6 + 7 + 4 + 2 + 37 + 79 + 463 + 62 + 2 + 4 = 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 (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674237794636229) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 32981342547 + ... + 32981362989.

It is an arithmetic number, because the mean of its divisors is an integer number (1315667691240).

Almost surely, 2^{674237794636224} is an apocalyptic number.

674237794636224 is a gapful number since it is divisible by the number (64) 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 674237794636224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326193032769920).

674237794636224 is an abundant number, since it is smaller than the sum of its proper divisors (1978148270903616).

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

674237794636224 is a wasteful number, since it uses less digits than its factorization.

674237794636224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20612 (or 20570 counting only the distinct ones).

The product of its digits is 3072577536, while the sum is 72.

The spelling of 674237794636224 in words is "six hundred seventy-four trillion, two hundred thirty-seven billion, seven hundred ninety-four million, six hundred thirty-six thousand, two hundred twenty-four".