36980744435712 has 1728 divisors, whose sum is σ = 138659713920000. Its totient is φ = 9289285632000.

The previous prime is 36980744435669. The next prime is 36980744435777. The reversal of 36980744435712 is 21753444708963.

36980744435712 is a `hidden beast` number, since 3 + 6 + 98 + 0 + 7 + 44 + 435 + 71 + 2 = 666.

It is a super-4 number, since 4×36980744435712⁴ (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 36980744435712.

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, 74109708039 + ... + 74109708537.

It is an arithmetic number, because the mean of its divisors is an integer number (80242890000).

It is a 1-persistent number, because it is pandigital, but 2⋅36980744435712 = 73961488871424 is not.

Almost surely, 2^{36980744435712} is an apocalyptic number.

36980744435712 is a gapful number since it is divisible by the number (32) 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 36980744435712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69329856960000).

36980744435712 is an abundant number, since it is smaller than the sum of its proper divisors (101678969484288).

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

36980744435712 is a wasteful number, since it uses less digits than its factorization.

36980744435712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 36980744435712 in words is "thirty-six trillion, nine hundred eighty billion, seven hundred forty-four million, four hundred thirty-five thousand, seven hundred twelve".