36363772800 has 768 divisors, whose sum is σ = 143883648000. Its totient is φ = 8941363200.

The previous prime is 36363772751. The next prime is 36363772843. The reversal of 36363772800 is 827736363.

36363772800 is a `hidden beast` number, since 3 + 6 + 3 + 637 + 7 + 2 + 8 + 0 + 0 = 666.

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

It is a congruent number.

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, 57628485 + ... + 57629115.

It is an arithmetic number, because the mean of its divisors is an integer number (187348500).

Almost surely, 2^36363772800 is an apocalyptic number.

36363772800 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 36363772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71941824000).

36363772800 is an abundant number, since it is smaller than the sum of its proper divisors (107519875200).

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

36363772800 is a wasteful number, since it uses less digits than its factorization.

36363772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 36363772800 in words is "thirty-six billion, three hundred sixty-three million, seven hundred seventy-two thousand, eight hundred".