36494052400800 has 432 divisors, whose sum is σ = 137758312403712. Its totient is φ = 9417818419200.

The previous prime is 36494052400781. The next prime is 36494052400867. The reversal of 36494052400800 is 800425049463.

36494052400800 is a `hidden beast` number, since 3 + 6 + 4 + 9 + 40 + 524 + 0 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2998552 + ... + 9054248.

It is an arithmetic number, because the mean of its divisors is an integer number (318884982416).

Almost surely, 2^{36494052400800} is an apocalyptic number.

36494052400800 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 36494052400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68879156201856).

36494052400800 is an abundant number, since it is smaller than the sum of its proper divisors (101264260002912).

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

36494052400800 is a wasteful number, since it uses less digits than its factorization.

36494052400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6055763 (or 6055738 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 36494052400800 in words is "thirty-six trillion, four hundred ninety-four billion, fifty-two million, four hundred thousand, eight hundred".