36746066016 has 180 divisors, whose sum is σ = 118787775876. Its totient is φ = 11135076480.

The previous prime is 36746065963. The next prime is 36746066029. The reversal of 36746066016 is 61066064763.

36746066016 is a `hidden beast` number, since 36 + 7 + 4 + 6 + 0 + 6 + 601 + 6 = 666.

It is a super-2 number, since 2×36746066016² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 255051 + ... + 372213.

Almost surely, 2^36746066016 is an apocalyptic number.

36746066016 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 36746066016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59393887938).

36746066016 is an abundant number, since it is smaller than the sum of its proper divisors (82041709860).

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

36746066016 is a wasteful number, since it uses less digits than its factorization.

36746066016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117207 (or 117179 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 36746066016 in words is "thirty-six billion, seven hundred forty-six million, sixty-six thousand, sixteen".