674765611650000 has 600 divisors, whose sum is σ = 2628826587564408. Its totient is φ = 166096137600000.

The previous prime is 674765611649993. The next prime is 674765611650017. The reversal of 674765611650000 is 56116567476.

It is a happy number.

674765611650000 is a `hidden beast` number, since 6 + 7 + 4 + 7 + 65 + 61 + 16 + 500 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 671484398216256 + 3281213433744 = 25913016^2 + 1811412^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 46241970 + ... + 59058030.

Almost surely, 2^{674765611650000} is an apocalyptic number.

674765611650000 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 674765611650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314413293782204).

674765611650000 is an abundant number, since it is smaller than the sum of its proper divisors (1954060975914408).

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

674765611650000 is a wasteful number, since it uses less digits than its factorization.

674765611650000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12816119 (or 12816084 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 674765611650000 in words is "six hundred seventy-four trillion, seven hundred sixty-five billion, six hundred eleven million, six hundred fifty thousand".