24720464664 has 192 divisors, whose sum is σ = 81709056000. Its totient is φ = 6599335680.

The previous prime is 24720464641. The next prime is 24720464701. The reversal of 24720464664 is 46646402742.

It is a super-2 number, since 2×24720464664² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425817 + ... + 480375.

It is an arithmetic number, because the mean of its divisors is an integer number (425568000).

Almost surely, 2^24720464664 is an apocalyptic number.

24720464664 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 24720464664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40854528000).

24720464664 is an abundant number, since it is smaller than the sum of its proper divisors (56988591336).

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

24720464664 is a wasteful number, since it uses less digits than its factorization.

24720464664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54638 (or 54631 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 24720464664 in words is "twenty-four billion, seven hundred twenty million, four hundred sixty-four thousand, six hundred sixty-four".