23679999997632 has 672 divisors, whose sum is σ = 78196900174848. Its totient is φ = 6785648640000.

The previous prime is 23679999997583. The next prime is 23679999997657.

23679999997632 is a `hidden beast` number, since 2 + 367 + 9 + 9 + 99 + 99 + 76 + 3 + 2 = 666.

23679999997632 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2604769407 + ... + 2604778497.

It is an arithmetic number, because the mean of its divisors is an integer number (116364434784).

Almost surely, 2^{23679999997632} is an apocalyptic number.

23679999997632 is a gapful number since it is divisible by the number (22) 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 23679999997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39098450087424).

23679999997632 is an abundant number, since it is smaller than the sum of its proper divisors (54516900177216).

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

23679999997632 is a wasteful number, since it uses less digits than its factorization.

23679999997632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9469 (or 9456 counting only the distinct ones).

The product of its digits is 33748629264, while the sum is 90.

It can be divided in two parts, 2367 and 9999997632, that added together give a palindrome (9999999999).

The spelling of 23679999997632 in words is "twenty-three trillion, six hundred seventy-nine billion, nine hundred ninety-nine million, nine hundred ninety-seven thousand, six hundred thirty-two".