36132132960 has 576 divisors, whose sum is σ = 154505594880. Its totient is φ = 7469936640.

The previous prime is 36132132941. The next prime is 36132132973. The reversal of 36132132960 is 6923123163.

It is a happy number.

36132132960 is a `hidden beast` number, since 3 + 6 + 1 + 321 + 329 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25390809 + ... + 25392231.

It is an arithmetic number, because the mean of its divisors is an integer number (268238880).

Almost surely, 2^36132132960 is an apocalyptic number.

36132132960 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 36132132960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77252797440).

36132132960 is an abundant number, since it is smaller than the sum of its proper divisors (118373461920).

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

36132132960 is a wasteful number, since it uses less digits than its factorization.

36132132960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 36132132960 in words is "thirty-six billion, one hundred thirty-two million, one hundred thirty-two thousand, nine hundred sixty".