36400202126064 has 480 divisors, whose sum is σ = 119863508244480. Its totient is φ = 10098311731200.

The previous prime is 36400202126051. The next prime is 36400202126083. The reversal of 36400202126064 is 46062120200463.

36400202126064 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 0 + 20 + 21 + 2 + 606 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1302738334 + ... + 1302766274.

It is an arithmetic number, because the mean of its divisors is an integer number (249715642176).

Almost surely, 2^{36400202126064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36400202126064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59931754122240).

36400202126064 is an abundant number, since it is smaller than the sum of its proper divisors (83463306118416).

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

36400202126064 is a wasteful number, since it uses less digits than its factorization.

36400202126064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28309 (or 28300 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 36400202126064 in words is "thirty-six trillion, four hundred billion, two hundred two million, one hundred twenty-six thousand, sixty-four".