36022761105408 has 1152 divisors, whose sum is σ = 135057668578560. Its totient is φ = 8978017812480.

The previous prime is 36022761105391. The next prime is 36022761105431. The reversal of 36022761105408 is 80450116722063.

36022761105408 is a `hidden beast` number, since 3 + 6 + 0 + 2 + 27 + 611 + 0 + 5 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3833427366 + ... + 3833436762.

It is an arithmetic number, because the mean of its divisors is an integer number (117237559530).

Almost surely, 2^{36022761105408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36022761105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67528834289280).

36022761105408 is an abundant number, since it is smaller than the sum of its proper divisors (99034907473152).

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

36022761105408 is a wasteful number, since it uses less digits than its factorization.

36022761105408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9553 (or 9530 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 36022761105408 in words is "thirty-six trillion, twenty-two billion, seven hundred sixty-one million, one hundred five thousand, four hundred eight".