36290153388672 has 768 divisors, whose sum is σ = 123354193680000. Its totient is φ = 10437686231040.

The previous prime is 36290153388637. The next prime is 36290153388679. The reversal of 36290153388672 is 27688335109263.

It is a happy number.

36290153388672 is a `hidden beast` number, since 3 + 6 + 2 + 90 + 1 + 533 + 8 + 8 + 6 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (36290153388679) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1072735854 + ... + 1072769682.

Almost surely, 2^{36290153388672} is an apocalyptic number.

36290153388672 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 36290153388672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61677096840000).

36290153388672 is an abundant number, since it is smaller than the sum of its proper divisors (87064040291328).

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

36290153388672 is a wasteful number, since it uses less digits than its factorization.

36290153388672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33950 (or 33901 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 36290153388672 in words is "thirty-six trillion, two hundred ninety billion, one hundred fifty-three million, three hundred eighty-eight thousand, six hundred seventy-two".