20242759680 has 672 divisors, whose sum is σ = 84557128320. Its totient is φ = 4529848320.

The previous prime is 20242759637. The next prime is 20242759709. The reversal of 20242759680 is 8695724202.

It is a super-3 number, since 3×20242759680³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1557135354 + ... + 1557135366.

It is an arithmetic number, because the mean of its divisors is an integer number (125829060).

Almost surely, 2^20242759680 is an apocalyptic number.

20242759680 is a gapful number since it is divisible by the number (20) 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 20242759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42278564160).

20242759680 is an abundant number, since it is smaller than the sum of its proper divisors (64314368640).

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

20242759680 is an frugal number, since it uses more digits than its factorization.

20242759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 20242759680 in words is "twenty billion, two hundred forty-two million, seven hundred fifty-nine thousand, six hundred eighty".