36800326062720 has 1536 divisors, whose sum is σ = 151432767682560. Its totient is φ = 8452690329600.

The previous prime is 36800326062673. The next prime is 36800326062751. The reversal of 36800326062720 is 2726062300863.

36800326062720 is a `hidden beast` number, since 3 + 6 + 8 + 0 + 0 + 32 + 606 + 2 + 7 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4210077550 + ... + 4210086290.

It is an arithmetic number, because the mean of its divisors is an integer number (98589041460).

Almost surely, 2^{36800326062720} is an apocalyptic number.

36800326062720 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 36800326062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75716383841280).

36800326062720 is an abundant number, since it is smaller than the sum of its proper divisors (114632441619840).

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

36800326062720 is a wasteful number, since it uses less digits than its factorization.

36800326062720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8916 (or 8892 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 36800326062720 in words is "thirty-six trillion, eight hundred billion, three hundred twenty-six million, sixty-two thousand, seven hundred twenty".