36667377768 has 128 divisors (see below), whose sum is σ = 111550464000. Its totient is φ = 10020846528.

The previous prime is 36667377743. The next prime is 36667377787. The reversal of 36667377768 is 86777376663.

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

It is a junction number, because it is equal to n+sod(n) for n = 36667377699 and 36667377708.

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, 92505 + ... + 286167.

It is an arithmetic number, because the mean of its divisors is an integer number (871488000).

Almost surely, 2^36667377768 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 36667377768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55775232000).

36667377768 is an abundant number, since it is smaller than the sum of its proper divisors (74883086232).

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

36667377768 is a wasteful number, since it uses less digits than its factorization.

36667377768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193716 (or 193698 counting only the distinct ones).

The product of its digits is 224042112, while the sum is 66.

The spelling of 36667377768 in words is "thirty-six billion, six hundred sixty-seven million, three hundred seventy-seven thousand, seven hundred sixty-eight".