36367610400 has 432 divisors, whose sum is σ = 148134456288. Its totient is φ = 8297472000.

The previous prime is 36367610353. The next prime is 36367610407. The reversal of 36367610400 is 401676363.

It is a happy number.

36367610400 is a `hidden beast` number, since 3 + 6 + 36 + 7 + 610 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36367610407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1332895 + ... + 1359905.

It is an arithmetic number, because the mean of its divisors is an integer number (342903834).

Almost surely, 2^36367610400 is an apocalyptic number.

36367610400 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 36367610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74067228144).

36367610400 is an abundant number, since it is smaller than the sum of its proper divisors (111766845888).

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

36367610400 is a wasteful number, since it uses less digits than its factorization.

36367610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27065 (or 27049 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 36367610400 in words is "thirty-six billion, three hundred sixty-seven million, six hundred ten thousand, four hundred".