23834006460 has 576 divisors, whose sum is σ = 88482240000. Its totient is φ = 5300951040.

The previous prime is 23834006423. The next prime is 23834006461. The reversal of 23834006460 is 6460043832.

It is a happy number.

23834006460 is a `hidden beast` number, since 2 + 3 + 8 + 3 + 4 + 0 + 0 + 646 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23834006461) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47763291 + ... + 47763789.

It is an arithmetic number, because the mean of its divisors is an integer number (153615000).

Almost surely, 2^23834006460 is an apocalyptic number.

23834006460 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 23834006460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44241120000).

23834006460 is an abundant number, since it is smaller than the sum of its proper divisors (64648233540).

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

23834006460 is a wasteful number, since it uses less digits than its factorization.

23834006460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 23834006460 in words is "twenty-three billion, eight hundred thirty-four million, six thousand, four hundred sixty".