36567672960 has 768 divisors, whose sum is σ = 151201209600. Its totient is φ = 7442104320.

The previous prime is 36567672949. The next prime is 36567673027. The reversal of 36567672960 is 6927676563.

It is a self number, because there is not a number n which added to its sum of digits gives 36567672960.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35467645 + ... + 35468675.

It is an arithmetic number, because the mean of its divisors is an integer number (196876575).

Almost surely, 2^36567672960 is an apocalyptic number.

36567672960 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 36567672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600604800).

36567672960 is an abundant number, since it is smaller than the sum of its proper divisors (114633536640).

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

36567672960 is a wasteful number, since it uses less digits than its factorization.

36567672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 57.

The spelling of 36567672960 in words is "thirty-six billion, five hundred sixty-seven million, six hundred seventy-two thousand, nine hundred sixty".