674768556000 has 3840 divisors, whose sum is σ = 3435820996608. Its totient is φ = 125411328000.

The previous prime is 674768555819. The next prime is 674768556029. The reversal of 674768556000 is 655867476.

674768556000 is a `hidden beast` number, since 6 + 7 + 4 + 76 + 8 + 5 + 560 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 15692291979 + ... + 15692292021.

Almost surely, 2^674768556000 is an apocalyptic number.

674768556000 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 674768556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717910498304).

674768556000 is an abundant number, since it is smaller than the sum of its proper divisors (2761052440608).

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

674768556000 is a wasteful number, since it uses less digits than its factorization.

674768556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 674768556000 in words is "six hundred seventy-four billion, seven hundred sixty-eight million, five hundred fifty-six thousand".