36533603620800 has 2688 divisors, whose sum is σ = 170391344256000. Its totient is φ = 7477302067200.

The previous prime is 36533603620793. The next prime is 36533603620841. The reversal of 36533603620800 is 802630633563.

36533603620800 is a `hidden beast` number, since 3 + 6 + 5 + 33 + 603 + 6 + 2 + 0 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3403852234 + ... + 3403862966.

It is an arithmetic number, because the mean of its divisors is an integer number (63389637000).

Almost surely, 2^{36533603620800} is an apocalyptic number.

36533603620800 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 36533603620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85195672128000).

36533603620800 is an abundant number, since it is smaller than the sum of its proper divisors (133857740635200).

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

36533603620800 is a wasteful number, since it uses less digits than its factorization.

36533603620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10836 (or 10815 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 36533603620800 in words is "thirty-six trillion, five hundred thirty-three billion, six hundred three million, six hundred twenty thousand, eight hundred".