674157738240 has 1008 divisors, whose sum is σ = 2863212307200. Its totient is φ = 148737835008.

The previous prime is 674157738227. The next prime is 674157738251. The reversal of 674157738240 is 42837751476.

674157738240 is a `hidden beast` number, since 6 + 7 + 41 + 577 + 3 + 8 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 189421581 + ... + 189425139.

It is an arithmetic number, because the mean of its divisors is an integer number (2840488400).

Almost surely, 2^674157738240 is an apocalyptic number.

674157738240 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 674157738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431606153600).

674157738240 is an abundant number, since it is smaller than the sum of its proper divisors (2189054568960).

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

674157738240 is an equidigital number, since it uses as much as digits as its factorization.

674157738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 674157738240 in words is "six hundred seventy-four billion, one hundred fifty-seven million, seven hundred thirty-eight thousand, two hundred forty".