36688490194752 has 280 divisors, whose sum is σ = 120144929900160. Its totient is φ = 10976992266240.

The previous prime is 36688490194751. The next prime is 36688490194789. The reversal of 36688490194752 is 25749109488663.

36688490194752 is a `hidden beast` number, since 3 + 6 + 6 + 88 + 490 + 1 + 9 + 4 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36688490194751) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 432828 + ... + 8576964.

It is a 1-persistent number, because it is pandigital, but 2⋅36688490194752 = 73376980389504 is not.

Almost surely, 2^{36688490194752} is an apocalyptic number.

36688490194752 is a gapful number since it is divisible by the number (32) 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 36688490194752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60072464950080).

36688490194752 is an abundant number, since it is smaller than the sum of its proper divisors (83456439705408).

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

36688490194752 is a wasteful number, since it uses less digits than its factorization.

36688490194752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8144251 (or 8144232 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 36688490194752 in words is "thirty-six trillion, six hundred eighty-eight billion, four hundred ninety million, one hundred ninety-four thousand, seven hundred fifty-two".