24771028064 has 48 divisors (see below), whose sum is σ = 49726897920. Its totient is φ = 12142341120.

The previous prime is 24771028057. The next prime is 24771028067. The reversal of 24771028064 is 46082017742.

It is a happy number.

It is a super-2 number, since 2×24771028064² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24771028067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2489852 + ... + 2499780.

It is an arithmetic number, because the mean of its divisors is an integer number (1035977040).

Almost surely, 2^24771028064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24771028064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24863448960).

24771028064 is an abundant number, since it is smaller than the sum of its proper divisors (24955869856).

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

24771028064 is a wasteful number, since it uses less digits than its factorization.

24771028064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11463 (or 11455 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The spelling of 24771028064 in words is "twenty-four billion, seven hundred seventy-one million, twenty-eight thousand, sixty-four".