36729400521856 has 512 divisors, whose sum is σ = 90563998924800. Its totient is φ = 14498920955904.

The previous prime is 36729400521829. The next prime is 36729400521859. The reversal of 36729400521856 is 65812500492763.

It is a self number, because there is not a number n which added to its sum of digits gives 36729400521856.

It is not an unprimeable number, because it can be changed into a prime (36729400521859) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19568139990 + ... + 19568141866.

It is an arithmetic number, because the mean of its divisors is an integer number (176882810400).

It is a 1-persistent number, because it is pandigital, but 2⋅36729400521856 = 73458801043712 is not.

Almost surely, 2^{36729400521856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36729400521856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45281999462400).

36729400521856 is an abundant number, since it is smaller than the sum of its proper divisors (53834598402944).

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

36729400521856 is a wasteful number, since it uses less digits than its factorization.

36729400521856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 58.

The spelling of 36729400521856 in words is "thirty-six trillion, seven hundred twenty-nine billion, four hundred million, five hundred twenty-one thousand, eight hundred fifty-six".