36027264000 has 704 divisors, whose sum is σ = 147638679552. Its totient is φ = 7593984000.

The previous prime is 36027263999. The next prime is 36027264173. The reversal of 36027264000 is 46272063.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34943485 + ... + 34944515.

Almost surely, 2^36027264000 is an apocalyptic number.

36027264000 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 36027264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73819339776).

36027264000 is an abundant number, since it is smaller than the sum of its proper divisors (111611415552).

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

36027264000 is a wasteful number, since it uses less digits than its factorization.

36027264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 36027264000 in words is "thirty-six billion, twenty-seven million, two hundred sixty-four thousand".