36365150976000 has 3072 divisors, whose sum is σ = 162614911979520. Its totient is φ = 6983516160000.

The previous prime is 36365150975963. The next prime is 36365150976029. The reversal of 36365150976000 is 67905156363.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 61324031704 + ... + 61324032296.

It is an arithmetic number, because the mean of its divisors is an integer number (52934541660).

Almost surely, 2^{36365150976000} is an apocalyptic number.

36365150976000 is a gapful number since it is divisible by the number (30) 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 36365150976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81307455989760).

36365150976000 is an abundant number, since it is smaller than the sum of its proper divisors (126249761003520).

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

36365150976000 is a wasteful number, since it uses less digits than its factorization.

36365150976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 51.

The spelling of 36365150976000 in words is "thirty-six trillion, three hundred sixty-five billion, one hundred fifty million, nine hundred seventy-six thousand".