36021003264 has 165 divisors, whose sum is σ = 107729231467. Its totient is φ = 11988781056.

The previous prime is 36021003259. The next prime is 36021003281. The reversal of 36021003264 is 46230012063.

The square root of 36021003264 is 189792.

It is a perfect power (a square), and thus also a powerful number.

36021003264 is a `hidden beast` number, since 360 + 210 + 0 + 32 + 64 = 666.

It is a super-2 number, since 2×36021003264² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 54659767 + ... + 54660425.

Almost surely, 2^36021003264 is an apocalyptic number.

36021003264 is the 189792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36021003264

36021003264 is an abundant number, since it is smaller than the sum of its proper divisors (71708228203).

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

36021003264 is an frugal number, since it uses more digits than its factorization.

36021003264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Multiplying 36021003264 by its product of nonzero digits (5184), we get a square (186732880920576 = 13665024²).

36021003264 divided by its product of nonzero digits (5184) gives a palindrome (6948496).

The spelling of 36021003264 in words is "thirty-six billion, twenty-one million, three thousand, two hundred sixty-four".