36064927641600 has 2496 divisors, whose sum is σ = 163877769484800. Its totient is φ = 7644119040000.

The previous prime is 36064927641563. The next prime is 36064927641607. The reversal of 36064927641600 is 614672946063.

It is a happy number.

36064927641600 is a `hidden beast` number, since 3 + 6 + 0 + 6 + 4 + 9 + 27 + 6 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36064927641607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7511959200 + ... + 7511964000.

Almost surely, 2^{36064927641600} is an apocalyptic number.

36064927641600 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 36064927641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81938884742400).

36064927641600 is an abundant number, since it is smaller than the sum of its proper divisors (127812841843200).

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

36064927641600 is a wasteful number, since it uses less digits than its factorization.

36064927641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887 (or 4854 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 36064927641600 in words is "thirty-six trillion, sixty-four billion, nine hundred twenty-seven million, six hundred forty-one thousand, six hundred".