36341124768000 has 576 divisors, whose sum is σ = 144435826080000. Its totient is φ = 8945504870400.

The previous prime is 36341124767977. The next prime is 36341124768023. The reversal of 36341124768000 is 86742114363.

36341124768000 is a `hidden beast` number, since 3 + 6 + 341 + 1 + 247 + 68 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36341124767977) and next prime (36341124768023).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9614251 + ... + 12849749.

It is an arithmetic number, because the mean of its divisors is an integer number (250756642500).

Almost surely, 2^{36341124768000} is an apocalyptic number.

36341124768000 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 36341124768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72217913040000).

36341124768000 is an abundant number, since it is smaller than the sum of its proper divisors (108094701312000).

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

36341124768000 is a wasteful number, since it uses less digits than its factorization.

36341124768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235552 (or 3235522 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 36341124768000 in words is "thirty-six trillion, three hundred forty-one billion, one hundred twenty-four million, seven hundred sixty-eight thousand".