36672226416 has 480 divisors, whose sum is σ = 125766950400. Its totient is φ = 10339467264.

The previous prime is 36672226397. The next prime is 36672226429. The reversal of 36672226416 is 61462227663.

36672226416 is a `hidden beast` number, since 3 + 6 + 6 + 7 + 2 + 226 + 416 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142693360 + ... + 142693616.

It is an arithmetic number, because the mean of its divisors is an integer number (262014480).

Almost surely, 2^36672226416 is an apocalyptic number.

36672226416 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 36672226416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62883475200).

36672226416 is an abundant number, since it is smaller than the sum of its proper divisors (89094723984).

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

36672226416 is a wasteful number, since it uses less digits than its factorization.

36672226416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 376 counting only the distinct ones).

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

The spelling of 36672226416 in words is "thirty-six billion, six hundred seventy-two million, two hundred twenty-six thousand, four hundred sixteen".