36718368266880 has 768 divisors, whose sum is σ = 137131774940160. Its totient is φ = 9377900789760.

The previous prime is 36718368266779. The next prime is 36718368266903. The reversal of 36718368266880 is 8866286381763.

36718368266880 is a `hidden beast` number, since 367 + 183 + 6 + 8 + 2 + 6 + 6 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 36718368266799 and 36718368266808.

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, 467609382 + ... + 467687898.

It is an arithmetic number, because the mean of its divisors is an integer number (178556998620).

Almost surely, 2^{36718368266880} is an apocalyptic number.

36718368266880 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 36718368266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68565887470080).

36718368266880 is an abundant number, since it is smaller than the sum of its proper divisors (100413406673280).

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

36718368266880 is an equidigital number, since it uses as much as digits as its factorization.

36718368266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78679 (or 78655 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 36718368266880 in words is "thirty-six trillion, seven hundred eighteen billion, three hundred sixty-eight million, two hundred sixty-six thousand, eight hundred eighty".