674956800000 has 1872 divisors, whose sum is σ = 2981333182464. Its totient is φ = 149299200000.

The previous prime is 674956799999. The next prime is 674956800019. The reversal of 674956800000 is 8659476.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21772799985 + ... + 21772800015.

It is an arithmetic number, because the mean of its divisors is an integer number (1592592512).

Almost surely, 2^674956800000 is an apocalyptic number.

674956800000 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 674956800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490666591232).

674956800000 is an abundant number, since it is smaller than the sum of its proper divisors (2306376382464).

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

674956800000 is an frugal number, since it uses more digits than its factorization.

674956800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 674956800000 in words is "six hundred seventy-four billion, nine hundred fifty-six million, eight hundred thousand".