36477341214336 has 1280 divisors, whose sum is σ = 122843381760000. Its totient is φ = 10651602124800.

The previous prime is 36477341214247. The next prime is 36477341214359. The reversal of 36477341214336 is 63341214377463.

36477341214336 is a `hidden beast` number, since 3 + 6 + 477 + 3 + 4 + 121 + 43 + 3 + 6 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 81241294240 + ... + 81241294688.

It is an arithmetic number, because the mean of its divisors is an integer number (95971392000).

Almost surely, 2^{36477341214336} is an apocalyptic number.

36477341214336 is a gapful number since it is divisible by the number (36) 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 36477341214336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61421690880000).

36477341214336 is an abundant number, since it is smaller than the sum of its proper divisors (86366040545664).

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

36477341214336 is a wasteful number, since it uses less digits than its factorization.

36477341214336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 742 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 54.

The spelling of 36477341214336 in words is "thirty-six trillion, four hundred seventy-seven billion, three hundred forty-one million, two hundred fourteen thousand, three hundred thirty-six".