36269000640 has 280 divisors, whose sum is σ = 129239174592. Its totient is φ = 9654958080.

The previous prime is 36269000627. The next prime is 36269000701. The reversal of 36269000640 is 4600096263.

36269000640 is a `hidden beast` number, since 3 + 6 + 2 + 6 + 9 + 0 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36269000595 and 36269000604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24389977 + ... + 24391463.

Almost surely, 2^36269000640 is an apocalyptic number.

36269000640 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 36269000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64619587296).

36269000640 is an abundant number, since it is smaller than the sum of its proper divisors (92970173952).

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

36269000640 is a wasteful number, since it uses less digits than its factorization.

36269000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 36269000640 in words is "thirty-six billion, two hundred sixty-nine million, six hundred forty", and thus it is an aban number.