36396412416 has 960 divisors, whose sum is σ = 138879861120. Its totient is φ = 8918138880.

The previous prime is 36396412411. The next prime is 36396412421. The reversal of 36396412416 is 61421469363.

36396412416 is a `hidden beast` number, since 3 + 639 + 6 + 4 + 1 + 2 + 4 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (36396412411) and next prime (36396412421).

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 (36396412411) 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, 498580956 + ... + 498581028.

It is an arithmetic number, because the mean of its divisors is an integer number (144666522).

Almost surely, 2^36396412416 is an apocalyptic number.

36396412416 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 36396412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69439930560).

36396412416 is an abundant number, since it is smaller than the sum of its proper divisors (102483448704).

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

36396412416 is a wasteful number, since it uses less digits than its factorization.

36396412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 36396412416 in words is "thirty-six billion, three hundred ninety-six million, four hundred twelve thousand, four hundred sixteen".