36727833872763 has 24 divisors (see below), whose sum is σ = 57878161835520. Its totient is φ = 22257755037360.

The previous prime is 36727833872759. The next prime is 36727833872801.

It is a happy number.

36727833872763 is a `hidden beast` number, since 3 + 6 + 7 + 278 + 3 + 3 + 87 + 276 + 3 = 666.

36727833872763 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 36727833872763 - 2² = 36727833872759 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36727833872691 and 36727833872700.

It is not an unprimeable number, because it can be changed into a prime (36727833872263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11377831 + ... + 14244672.

It is an arithmetic number, because the mean of its divisors is an integer number (2411590076480).

Almost surely, 2^{36727833872763} is an apocalyptic number.

36727833872763 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

36727833872763 is a deficient number, since it is larger than the sum of its proper divisors (21150327962757).

36727833872763 is a wasteful number, since it uses less digits than its factorization.

36727833872763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25636999 (or 25636996 counting only the distinct ones).

The product of its digits is 1792336896, while the sum is 72.

The spelling of 36727833872763 in words is "thirty-six trillion, seven hundred twenty-seven billion, eight hundred thirty-three million, eight hundred seventy-two thousand, seven hundred sixty-three".