24768968440 has 32 divisors (see below), whose sum is σ = 57651912000. Its totient is φ = 9565945984.

The previous prime is 24768968383. The next prime is 24768968447. The reversal of 24768968440 is 4486986742.

It is a super-2 number, since 2×24768968440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24768968447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10675120 + ... + 10677439.

It is an arithmetic number, because the mean of its divisors is an integer number (1801622250).

Almost surely, 2^24768968440 is an apocalyptic number.

24768968440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24768968440 is an abundant number, since it is smaller than the sum of its proper divisors (32882943560).

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

24768968440 is a wasteful number, since it uses less digits than its factorization.

24768968440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21352599 (or 21352595 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 58.

The spelling of 24768968440 in words is "twenty-four billion, seven hundred sixty-eight million, nine hundred sixty-eight thousand, four hundred forty".