36783072144000 has 1536 divisors, whose sum is σ = 163681015680000. Its totient is φ = 7708328755200.

The previous prime is 36783072143999. The next prime is 36783072144031. The reversal of 36783072144000 is 44127038763.

36783072144000 is a `hidden beast` number, since 3 + 67 + 83 + 0 + 72 + 1 + 440 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 1952486581 + ... + 1952505419.

It is an arithmetic number, because the mean of its divisors is an integer number (106563161250).

Almost surely, 2^{36783072144000} is an apocalyptic number.

36783072144000 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 36783072144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81840507840000).

36783072144000 is an abundant number, since it is smaller than the sum of its proper divisors (126897943536000).

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

36783072144000 is a wasteful number, since it uses less digits than its factorization.

36783072144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19043 (or 19018 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 36783072144000 in words is "thirty-six trillion, seven hundred eighty-three billion, seventy-two million, one hundred forty-four thousand".