36464295774816 has 576 divisors, whose sum is σ = 128034899306496. Its totient is φ = 9586128384000.

The previous prime is 36464295774811. The next prime is 36464295774913. The reversal of 36464295774816 is 61847759246463.

36464295774816 is a `hidden beast` number, since 3 + 6 + 4 + 6 + 4 + 2 + 9 + 577 + 48 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36464295774811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14901631705 + ... + 14901634151.

It is an arithmetic number, because the mean of its divisors is an integer number (222282811296).

Almost surely, 2^{36464295774816} is an apocalyptic number.

36464295774816 is a gapful number since it is divisible by the number (36) 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 36464295774816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64017449653248).

36464295774816 is an abundant number, since it is smaller than the sum of its proper divisors (91570603531680).

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

36464295774816 is a wasteful number, since it uses less digits than its factorization.

36464295774816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4064 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 72.

The spelling of 36464295774816 in words is "thirty-six trillion, four hundred sixty-four billion, two hundred ninety-five million, seven hundred seventy-four thousand, eight hundred sixteen".