674663745600 has 504 divisors, whose sum is σ = 2590743322440. Its totient is φ = 165532631040.

The previous prime is 674663745593. The next prime is 674663745641. The reversal of 674663745600 is 6547366476.

674663745600 is a `hidden beast` number, since 6 + 7 + 4 + 6 + 6 + 3 + 74 + 560 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 455819420736 + 218844324864 = 675144^2 + 467808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59336716 + ... + 59348084.

It is an arithmetic number, because the mean of its divisors is an integer number (5140363735).

Almost surely, 2^674663745600 is an apocalyptic number.

674663745600 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 674663745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295371661220).

674663745600 is an abundant number, since it is smaller than the sum of its proper divisors (1916079576840).

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

674663745600 is a wasteful number, since it uses less digits than its factorization.

674663745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11727 (or 11709 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 674663745600 in words is "six hundred seventy-four billion, six hundred sixty-three million, seven hundred forty-five thousand, six hundred".