21742584864 has 576 divisors, whose sum is σ = 78619419648. Its totient is φ = 5118474240.

The previous prime is 21742584859. The next prime is 21742584869. The reversal of 21742584864 is 46848524712.

It is an interprime number because it is at equal distance from previous prime (21742584859) and next prime (21742584869).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (21742584869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70822599 + ... + 70822905.

It is an arithmetic number, because the mean of its divisors is an integer number (136492048).

Almost surely, 2^21742584864 is an apocalyptic number.

21742584864 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 21742584864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39309709824).

21742584864 is an abundant number, since it is smaller than the sum of its proper divisors (56876834784).

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

21742584864 is a wasteful number, since it uses less digits than its factorization.

21742584864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 410 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 51.

It can be divided in two parts, 21742 and 584864, that added together give a palindrome (606606).

The spelling of 21742584864 in words is "twenty-one billion, seven hundred forty-two million, five hundred eighty-four thousand, eight hundred sixty-four".