36674360325120 has 528 divisors, whose sum is σ = 140140123562880. Its totient is φ = 8018232803328.

The previous prime is 36674360325047. The next prime is 36674360325133. The reversal of 36674360325120 is 2152306347663.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36674360325120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56555686 + ... + 57200474.

Almost surely, 2^{36674360325120} is an apocalyptic number.

36674360325120 is a gapful number since it is divisible by the number (30) 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 36674360325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70070061781440).

36674360325120 is an abundant number, since it is smaller than the sum of its proper divisors (103465763237760).

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

36674360325120 is a wasteful number, since it uses less digits than its factorization.

36674360325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644870 (or 644829 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 48.

The spelling of 36674360325120 in words is "thirty-six trillion, six hundred seventy-four billion, three hundred sixty million, three hundred twenty-five thousand, one hundred twenty".