36268688405376 has 384 divisors, whose sum is σ = 123210205747200. Its totient is φ = 10021197312000.

The previous prime is 36268688405351. The next prime is 36268688405441. The reversal of 36268688405376 is 67350488686263.

36268688405376 is a `hidden beast` number, since 3 + 6 + 2 + 6 + 8 + 6 + 8 + 84 + 0 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362676790 + ... + 362776778.

It is an arithmetic number, because the mean of its divisors is an integer number (320859910800).

Almost surely, 2^{36268688405376} is an apocalyptic number.

36268688405376 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 36268688405376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61605102873600).

36268688405376 is an abundant number, since it is smaller than the sum of its proper divisors (86941517341824).

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

36268688405376 is a wasteful number, since it uses less digits than its factorization.

36268688405376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101498 (or 101483 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 72.

The spelling of 36268688405376 in words is "thirty-six trillion, two hundred sixty-eight billion, six hundred eighty-eight million, four hundred five thousand, three hundred seventy-six".