36419969730816 has 405 divisors, whose sum is σ = 126349110275619. Its totient is φ = 10403967587328.

The previous prime is 36419969730751. The next prime is 36419969730821. The reversal of 36419969730816 is 61803796991463.

The square root of 36419969730816 is 6034896.

It is a perfect power (a square), and thus also a powerful number.

36419969730816 is a `hidden beast` number, since 3 + 6 + 419 + 9 + 69 + 73 + 0 + 81 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6083172175 + ... + 6083178161.

Almost surely, 2^{36419969730816} is an apocalyptic number.

36419969730816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

36419969730816 is the 6034896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36419969730816

36419969730816 is an abundant number, since it is smaller than the sum of its proper divisors (89929140544803).

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

36419969730816 is an frugal number, since it uses more digits than its factorization.

36419969730816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12016 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 36419969730816 in words is "thirty-six trillion, four hundred nineteen billion, nine hundred sixty-nine million, seven hundred thirty thousand, eight hundred sixteen".