36332275680 has 384 divisors, whose sum is σ = 133397591040. Its totient is φ = 9218119680.

The previous prime is 36332275673. The next prime is 36332275687. The reversal of 36332275680 is 8657223363.

36332275680 is a `hidden beast` number, since 3 + 63 + 3 + 2 + 27 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36332275673) and next prime (36332275687).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36332275687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20964094 + ... + 20965826.

It is an arithmetic number, because the mean of its divisors is an integer number (347389560).

Almost surely, 2^36332275680 is an apocalyptic number.

36332275680 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 36332275680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66698795520).

36332275680 is an abundant number, since it is smaller than the sum of its proper divisors (97065315360).

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

36332275680 is a wasteful number, since it uses less digits than its factorization.

36332275680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 36332275680 in words is "thirty-six billion, three hundred thirty-two million, two hundred seventy-five thousand, six hundred eighty".