36641101026816 has 3200 divisors, whose sum is σ = 141942065126400. Its totient is φ = 9245880483840.

The previous prime is 36641101026811. The next prime is 36641101026851. The reversal of 36641101026816 is 61862010114663.

36641101026816 is a `hidden beast` number, since 3 + 66 + 411 + 0 + 102 + 68 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36641101026811) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 233382809010 + ... + 233382809166.

It is an arithmetic number, because the mean of its divisors is an integer number (44356895352).

Almost surely, 2^{36641101026816} is an apocalyptic number.

36641101026816 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 36641101026816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70971032563200).

36641101026816 is an abundant number, since it is smaller than the sum of its proper divisors (105300964099584).

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

36641101026816 is a wasteful number, since it uses less digits than its factorization.

36641101026816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 36641101026816 in words is "thirty-six trillion, six hundred forty-one billion, one hundred one million, twenty-six thousand, eight hundred sixteen".