36650870605440 has 3072 divisors, whose sum is σ = 174379226112000. Its totient is φ = 6872922980352.

The previous prime is 36650870605403. The next prime is 36650870605523. The reversal of 36650870605440 is 4450607805663.

36650870605440 is a `hidden beast` number, since 3 + 6 + 6 + 508 + 70 + 60 + 5 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×36650870605440² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12140068251 + ... + 12140071269.

It is an arithmetic number, because the mean of its divisors is an integer number (56764071000).

Almost surely, 2^{36650870605440} is an apocalyptic number.

36650870605440 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 36650870605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87189613056000).

36650870605440 is an abundant number, since it is smaller than the sum of its proper divisors (137728355506560).

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

36650870605440 is a wasteful number, since it uses less digits than its factorization.

36650870605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 36650870605440 in words is "thirty-six trillion, six hundred fifty billion, eight hundred seventy million, six hundred five thousand, four hundred forty".