21762236640 has 48 divisors (see below), whose sum is σ = 68551046928. Its totient is φ = 5803262976.

The previous prime is 21762236633. The next prime is 21762236647. The reversal of 21762236640 is 4663226712.

It is an interprime number because it is at equal distance from previous prime (21762236633) and next prime (21762236647).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21762236647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22668517 + ... + 22669476.

It is an arithmetic number, because the mean of its divisors is an integer number (1428146811).

Almost surely, 2^21762236640 is an apocalyptic number.

21762236640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21762236640 is an abundant number, since it is smaller than the sum of its proper divisors (46788810288).

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

21762236640 is a wasteful number, since it uses less digits than its factorization.

21762236640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45338011 (or 45338003 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 21762236640 in words is "twenty-one billion, seven hundred sixty-two million, two hundred thirty-six thousand, six hundred forty".