36013486464 has 576 divisors, whose sum is σ = 118245519600. Its totient is φ = 10883911680.

The previous prime is 36013486459. The next prime is 36013486507. The reversal of 36013486464 is 46468431063.

It is a happy number.

36013486464 is a `hidden beast` number, since 3 + 601 + 34 + 8 + 6 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×36013486464² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 590384994 + ... + 590385054.

Almost surely, 2^36013486464 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 36013486464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59122759800).

36013486464 is an abundant number, since it is smaller than the sum of its proper divisors (82232033136).

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

36013486464 is an frugal number, since it uses more digits than its factorization.

36013486464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 36013486464 in words is "thirty-six billion, thirteen million, four hundred eighty-six thousand, four hundred sixty-four".