36806952960 has 768 divisors, whose sum is σ = 142655385600. Its totient is φ = 8965324800.

The previous prime is 36806952947. The next prime is 36806952961. The reversal of 36806952960 is 6925960863.

36806952960 is a `hidden beast` number, since 36 + 80 + 6 + 9 + 529 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 = 36806952897 and 36806952906.

It is not an unprimeable number, because it can be changed into a prime (36806952961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192706465 + ... + 192706655.

It is an arithmetic number, because the mean of its divisors is an integer number (185749200).

Almost surely, 2^36806952960 is an apocalyptic number.

36806952960 is a gapful number since it is divisible by the number (30) 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 36806952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71327692800).

36806952960 is an abundant number, since it is smaller than the sum of its proper divisors (105848432640).

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

36806952960 is a wasteful number, since it uses less digits than its factorization.

36806952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 36806952960 in words is "thirty-six billion, eight hundred six million, nine hundred fifty-two thousand, nine hundred sixty".