9027432749664 has 288 divisors, whose sum is σ = 30975008762880. Its totient is φ = 2436261359616.

The previous prime is 9027432749639. The next prime is 9027432749681. The reversal of 9027432749664 is 4669472347209.

It is a happy number.

9027432749664 is a `hidden beast` number, since 9 + 0 + 27 + 43 + 27 + 496 + 64 = 666.

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

It is a super-2 number, since 2×9027432749664² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 12558777 + ... + 13258119.

It is an arithmetic number, because the mean of its divisors is an integer number (107552113760).

Almost surely, 2^{9027432749664} 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 9027432749664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15487504381440).

9027432749664 is an abundant number, since it is smaller than the sum of its proper divisors (21947576013216).

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

9027432749664 is a wasteful number, since it uses less digits than its factorization.

9027432749664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699722 (or 699711 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 9027432749664 in words is "nine trillion, twenty-seven billion, four hundred thirty-two million, seven hundred forty-nine thousand, six hundred sixty-four".