674154351360 has 1152 divisors, whose sum is σ = 2841574686720. Its totient is φ = 148104806400.

The previous prime is 674154351307. The next prime is 674154351361. The reversal of 674154351360 is 63153451476.

674154351360 is a `hidden beast` number, since 6 + 7 + 41 + 543 + 5 + 1 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (674154351361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1807384134 + ... + 1807384506.

Almost surely, 2^674154351360 is an apocalyptic number.

674154351360 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 674154351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420787343360).

674154351360 is an abundant number, since it is smaller than the sum of its proper divisors (2167420335360).

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

674154351360 is a wasteful number, since it uses less digits than its factorization.

674154351360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 674154351360 in words is "six hundred seventy-four billion, one hundred fifty-four million, three hundred fifty-one thousand, three hundred sixty".