36606340433880 has 1152 divisors, whose sum is σ = 150227990323200. Its totient is φ = 7904509659648.

The previous prime is 36606340433857. The next prime is 36606340433893. The reversal of 36606340433880 is 8833404360663.

36606340433880 is a `hidden beast` number, since 36 + 6 + 0 + 63 + 40 + 433 + 8 + 80 = 666.

It is a super-2 number, since 2×36606340433880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7316875459 + ... + 7316880461.

It is an arithmetic number, because the mean of its divisors is an integer number (130406241600).

Almost surely, 2^{36606340433880} is an apocalyptic number.

36606340433880 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 36606340433880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75113995161600).

36606340433880 is an abundant number, since it is smaller than the sum of its proper divisors (113621649889320).

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

36606340433880 is a wasteful number, since it uses less digits than its factorization.

36606340433880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5458 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 36606340433880 in words is "thirty-six trillion, six hundred six billion, three hundred forty million, four hundred thirty-three thousand, eight hundred eighty".