24742394064 has 120 divisors (see below), whose sum is σ = 71959680000. Its totient is φ = 7927637760.

The previous prime is 24742394057. The next prime is 24742394071. The reversal of 24742394064 is 46049324742.

24742394064 is a `hidden beast` number, since 2 + 4 + 7 + 4 + 239 + 406 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (24742394057) and next prime (24742394071).

It is a super-2 number, since 2×24742394064² (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 23 ways as a sum of consecutive naturals, for example, 646537 + ... + 683735.

It is an arithmetic number, because the mean of its divisors is an integer number (599664000).

Almost surely, 2^24742394064 is an apocalyptic number.

24742394064 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 24742394064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35979840000).

24742394064 is an abundant number, since it is smaller than the sum of its proper divisors (47217285936).

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

24742394064 is a wasteful number, since it uses less digits than its factorization.

24742394064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37393 (or 37384 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 24742394064 in words is "twenty-four billion, seven hundred forty-two million, three hundred ninety-four thousand, sixty-four".