36129894720 has 224 divisors, whose sum is σ = 117367799808. Its totient is φ = 9413978112.

The previous prime is 36129894709. The next prime is 36129894721. The reversal of 36129894720 is 2749892163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36129894721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8166429 + ... + 8170851.

It is an arithmetic number, because the mean of its divisors is an integer number (523963392).

Almost surely, 2^36129894720 is an apocalyptic number.

36129894720 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 36129894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58683899904).

36129894720 is an abundant number, since it is smaller than the sum of its proper divisors (81237905088).

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

36129894720 is a wasteful number, since it uses less digits than its factorization.

36129894720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 36129894720 in words is "thirty-six billion, one hundred twenty-nine million, eight hundred ninety-four thousand, seven hundred twenty".