36424636416 has 384 divisors, whose sum is σ = 124383168000. Its totient is φ = 10316906496.

The previous prime is 36424636411. The next prime is 36424636429. The reversal of 36424636416 is 61463642463.

36424636416 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 4 + 636 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36424636411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53802670 + ... + 53803346.

It is an arithmetic number, because the mean of its divisors is an integer number (323914500).

Almost surely, 2^36424636416 is an apocalyptic number.

36424636416 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 36424636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62191584000).

36424636416 is an abundant number, since it is smaller than the sum of its proper divisors (87958531584).

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

36424636416 is a wasteful number, since it uses less digits than its factorization.

36424636416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 828 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The spelling of 36424636416 in words is "thirty-six billion, four hundred twenty-four million, six hundred thirty-six thousand, four hundred sixteen".