3664264106016 has 96 divisors (see below), whose sum is σ = 11032193088000. Its totient is φ = 1182020670720.

The previous prime is 3664264105973. The next prime is 3664264106017. The reversal of 3664264106016 is 6106014624663.

3664264106016 is a `hidden beast` number, since 3 + 6 + 6 + 4 + 26 + 4 + 10 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3664264106017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68377191 + ... + 68430758.

It is an arithmetic number, because the mean of its divisors is an integer number (114918678000).

Almost surely, 2^{3664264106016} is an apocalyptic number.

3664264106016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3664264106016 is an abundant number, since it is smaller than the sum of its proper divisors (7367928981984).

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

3664264106016 is a wasteful number, since it uses less digits than its factorization.

3664264106016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136807999 (or 136807985 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 3664264106016 in words is "three trillion, six hundred sixty-four billion, two hundred sixty-four million, one hundred six thousand, sixteen".