36414416376 has 320 divisors, whose sum is σ = 112132500480. Its totient is φ = 10973491200.

The previous prime is 36414416329. The next prime is 36414416413. The reversal of 36414416376 is 67361441463.

36414416376 is a `hidden beast` number, since 3 + 6 + 4 + 1 + 4 + 4 + 1 + 637 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 108054480 + ... + 108054816.

It is an arithmetic number, because the mean of its divisors is an integer number (350414064).

Almost surely, 2^36414416376 is an apocalyptic number.

36414416376 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 36414416376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56066250240).

36414416376 is an abundant number, since it is smaller than the sum of its proper divisors (75718084104).

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

36414416376 is a wasteful number, since it uses less digits than its factorization.

36414416376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 583 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 36414416376 in words is "thirty-six billion, four hundred fourteen million, four hundred sixteen thousand, three hundred seventy-six".