21767440560 has 160 divisors (see below), whose sum is σ = 72310371840. Its totient is φ = 5397295104.

The previous prime is 21767440559. The next prime is 21767440561. The reversal of 21767440560 is 6504476712.

It is an interprime number because it is at equal distance from previous prime (21767440559) and next prime (21767440561).

It is a super-2 number, since 2×21767440560² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21767440561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306501 + ... + 370779.

It is an arithmetic number, because the mean of its divisors is an integer number (451939824).

Almost surely, 2^21767440560 is an apocalyptic number.

21767440560 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 21767440560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36155185920).

21767440560 is an abundant number, since it is smaller than the sum of its proper divisors (50542931280).

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

21767440560 is a wasteful number, since it uses less digits than its factorization.

21767440560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64395 (or 64389 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 21767440560 in words is "twenty-one billion, seven hundred sixty-seven million, four hundred forty thousand, five hundred sixty".