23876342784 has 880 divisors, whose sum is σ = 89880658560. Its totient is φ = 6157762560.

The previous prime is 23876342753. The next prime is 23876342807. The reversal of 23876342784 is 48724367832.

It is a happy number.

23876342784 is a `hidden beast` number, since 2 + 3 + 87 + 63 + 427 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23876342784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 404683747 + ... + 404683805.

It is an arithmetic number, because the mean of its divisors is an integer number (102137112).

Almost surely, 2^23876342784 is an apocalyptic number.

23876342784 is a gapful number since it is divisible by the number (24) 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 23876342784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44940329280).

23876342784 is an abundant number, since it is smaller than the sum of its proper divisors (66004315776).

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

23876342784 is a wasteful number, since it uses less digits than its factorization.

23876342784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 23876342784 in words is "twenty-three billion, eight hundred seventy-six million, three hundred forty-two thousand, seven hundred eighty-four".