21742013700 has 216 divisors, whose sum is σ = 74570539680. Its totient is φ = 5254771200.

The previous prime is 21742013693. The next prime is 21742013707. The reversal of 21742013700 is 731024712.

It is a happy number.

21742013700 is a `hidden beast` number, since 21 + 74 + 201 + 370 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21742013693) and next prime (21742013707).

It is a super-3 number, since 3×21742013700³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21742013707) 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 71 ways as a sum of consecutive naturals, for example, 3432136 + ... + 3438464.

It is an arithmetic number, because the mean of its divisors is an integer number (345233980).

Almost surely, 2^21742013700 is an apocalyptic number.

21742013700 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 21742013700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37285269840).

21742013700 is an abundant number, since it is smaller than the sum of its proper divisors (52828525980).

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

21742013700 is a wasteful number, since it uses less digits than its factorization.

21742013700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6707 (or 6697 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 21742013700 in words is "twenty-one billion, seven hundred forty-two million, thirteen thousand, seven hundred".