36730825278720 has 576 divisors, whose sum is σ = 120916289894400. Its totient is φ = 9497312133120.

The previous prime is 36730825278709. The next prime is 36730825278757. The reversal of 36730825278720 is 2787252803763.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13813772751 + ... + 13813775409.

It is an arithmetic number, because the mean of its divisors is an integer number (209924114400).

Almost surely, 2^{36730825278720} is an apocalyptic number.

36730825278720 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 36730825278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60458144947200).

36730825278720 is an abundant number, since it is smaller than the sum of its proper divisors (84185464615680).

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

36730825278720 is a wasteful number, since it uses less digits than its factorization.

36730825278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 60.

The spelling of 36730825278720 in words is "thirty-six trillion, seven hundred thirty billion, eight hundred twenty-five million, two hundred seventy-eight thousand, seven hundred twenty".