24687678642 has 48 divisors (see below), whose sum is σ = 54556540416. Its totient is φ = 7441904800.

The previous prime is 24687678641. The next prime is 24687678649.

24687678642 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (24687678641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49648 + ... + 227684.

It is an arithmetic number, because the mean of its divisors is an integer number (1136594592).

Almost surely, 2^24687678642 is an apocalyptic number.

24687678642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24687678642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27278270208).

24687678642 is an abundant number, since it is smaller than the sum of its proper divisors (29868861774).

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

24687678642 is a wasteful number, since it uses less digits than its factorization.

24687678642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178255 (or 178244 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 60.

The spelling of 24687678642 in words is "twenty-four billion, six hundred eighty-seven million, six hundred seventy-eight thousand, six hundred forty-two".