232427890448640 has 1728 divisors, whose sum is σ = 897481532473344. Its totient is φ = 55273881600000.

The previous prime is 232427890448639. The next prime is 232427890448669. The reversal of 232427890448640 is 46844098724232.

It is a happy number.

232427890448640 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 27 + 8 + 90 + 4 + 486 + 40 = 666.

It is a super-3 number, since 3×232427890448640³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65087618055 + ... + 65087621625.

It is an arithmetic number, because the mean of its divisors is an integer number (519375886848).

Almost surely, 2^{232427890448640} is an apocalyptic number.

232427890448640 is a gapful number since it is divisible by the number (20) 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 232427890448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448740766236672).

232427890448640 is an abundant number, since it is smaller than the sum of its proper divisors (665053642024704).

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

232427890448640 is a wasteful number, since it uses less digits than its factorization.

232427890448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 232427890448640 in words is "two hundred thirty-two trillion, four hundred twenty-seven billion, eight hundred ninety million, four hundred forty-eight thousand, six hundred forty".