36764307648 has 224 divisors, whose sum is σ = 113405757440. Its totient is φ = 11664000000.

The previous prime is 36764307631. The next prime is 36764307649. The reversal of 36764307648 is 84670346763.

It is a happy number.

36764307648 is a `hidden beast` number, since 36 + 76 + 430 + 76 + 48 = 666.

It is a super-2 number, since 2×36764307648² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 36764307594 and 36764307603.

It is not an unprimeable number, because it can be changed into a prime (36764307649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3262023 + ... + 3273273.

Almost surely, 2^36764307648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36764307648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56702878720).

36764307648 is an abundant number, since it is smaller than the sum of its proper divisors (76641449792).

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

36764307648 is a wasteful number, since it uses less digits than its factorization.

36764307648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11364 (or 11348 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 36764307648 in words is "thirty-six billion, seven hundred sixty-four million, three hundred seven thousand, six hundred forty-eight".