21272324640 has 192 divisors, whose sum is σ = 79910240256. Its totient is φ = 4650826752.

The previous prime is 21272324581. The next prime is 21272324659. The reversal of 21272324640 is 4642327212.

It is a super-2 number, since 2×21272324640² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60352 + ... + 214911.

It is an arithmetic number, because the mean of its divisors is an integer number (416199168).

Almost surely, 2^21272324640 is an apocalyptic number.

21272324640 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 21272324640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39955120128).

21272324640 is an abundant number, since it is smaller than the sum of its proper divisors (58637915616).

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

21272324640 is a wasteful number, since it uses less digits than its factorization.

21272324640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275311 (or 275303 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 21272324640 in words is "twenty-one billion, two hundred seventy-two million, three hundred twenty-four thousand, six hundred forty".