36704356416 has 224 divisors, whose sum is σ = 132805505280. Its totient is φ = 9680228352.

The previous prime is 36704356399. The next prime is 36704356433. The reversal of 36704356416 is 61465340763.

36704356416 is a `hidden beast` number, since 3 + 6 + 70 + 4 + 3 + 564 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (36704356399) and next prime (36704356433).

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40540 + ... + 273956.

It is an arithmetic number, because the mean of its divisors is an integer number (592881720).

Almost surely, 2^36704356416 is an apocalyptic number.

36704356416 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 36704356416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66402752640).

36704356416 is an abundant number, since it is smaller than the sum of its proper divisors (96101148864).

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

36704356416 is a wasteful number, since it uses less digits than its factorization.

36704356416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233458 (or 233442 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 36704356416 in words is "thirty-six billion, seven hundred four million, three hundred fifty-six thousand, four hundred sixteen".