36054353664 has 216 divisors, whose sum is σ = 124027426320. Its totient is φ = 10301147136.

The previous prime is 36054353609. The next prime is 36054353689. The reversal of 36054353664 is 46635345063.

36054353664 is a `hidden beast` number, since 3 + 6 + 0 + 54 + 3 + 536 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285462 + ... + 391914.

Almost surely, 2^36054353664 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 36054353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62013713160).

36054353664 is an abundant number, since it is smaller than the sum of its proper divisors (87973072656).

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

36054353664 is a wasteful number, since it uses less digits than its factorization.

36054353664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106492 (or 106465 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 36054353664 in words is "thirty-six billion, fifty-four million, three hundred fifty-three thousand, six hundred sixty-four".