18064407212640 has 288 divisors, whose sum is σ = 61883483590656. Its totient is φ = 4798554670080.

The previous prime is 18064407212623. The next prime is 18064407212653. The reversal of 18064407212640 is 4621270446081.

18064407212640 is a `hidden beast` number, since 1 + 80 + 6 + 4 + 407 + 2 + 126 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447262527 + ... + 447302913.

It is an arithmetic number, because the mean of its divisors is an integer number (214873206912).

Almost surely, 2^{18064407212640} is an apocalyptic number.

18064407212640 is a gapful number since it is divisible by the number (10) 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 18064407212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30941741795328).

18064407212640 is an abundant number, since it is smaller than the sum of its proper divisors (43819076378016).

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

18064407212640 is a wasteful number, since it uses less digits than its factorization.

18064407212640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41602 (or 41591 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 18064407212640 in words is "eighteen trillion, sixty-four billion, four hundred seven million, two hundred twelve thousand, six hundred forty".