36754269798400 has 1728 divisors, whose sum is σ = 121426852184064. Its totient is φ = 10701766656000.

The previous prime is 36754269798371. The next prime is 36754269798413. The reversal of 36754269798400 is 489796245763.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 36754269798400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 289403699137 + ... + 289403699263.

It is an arithmetic number, because the mean of its divisors is an integer number (70270169088).

Almost surely, 2^{36754269798400} 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 36754269798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60713426092032).

36754269798400 is an abundant number, since it is smaller than the sum of its proper divisors (84672582385664).

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

36754269798400 is a wasteful number, since it uses less digits than its factorization.

36754269798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 70.

The spelling of 36754269798400 in words is "thirty-six trillion, seven hundred fifty-four billion, two hundred sixty-nine million, seven hundred ninety-eight thousand, four hundred".