36636667200 has 672 divisors, whose sum is σ = 154330400000. Its totient is φ = 8281128960.

The previous prime is 36636667159. The next prime is 36636667201. The reversal of 36636667200 is 276663663.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36636667201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29332176 + ... + 29333424.

Almost surely, 2^36636667200 is an apocalyptic number.

36636667200 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 36636667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77165200000).

36636667200 is an abundant number, since it is smaller than the sum of its proper divisors (117693732800).

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

36636667200 is a wasteful number, since it uses less digits than its factorization.

36636667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 36636667200 in words is "thirty-six billion, six hundred thirty-six million, six hundred sixty-seven thousand, two hundred".