36749776896 has 576 divisors, whose sum is σ = 131805273600. Its totient is φ = 9909485568.

The previous prime is 36749776853. The next prime is 36749776897. The reversal of 36749776896 is 69867794763.

36749776896 is a `hidden beast` number, since 3 + 67 + 497 + 76 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×36749776896² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

Its product of digits (576108288) is a multiple of the sum of its prime divisors (294).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36749776897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139732861 + ... + 139733123.

It is an arithmetic number, because the mean of its divisors is an integer number (228828600).

Almost surely, 2^36749776896 is an apocalyptic number.

36749776896 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 36749776896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65902636800).

36749776896 is an abundant number, since it is smaller than the sum of its proper divisors (95055496704).

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

36749776896 is a wasteful number, since it uses less digits than its factorization.

36749776896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 294 counting only the distinct ones).

The product of its digits is 576108288, while the sum is 72.

The spelling of 36749776896 in words is "thirty-six billion, seven hundred forty-nine million, seven hundred seventy-six thousand, eight hundred ninety-six".