21427346946720 has 768 divisors, whose sum is σ = 80802552595968. Its totient is φ = 4704530595840.

The previous prime is 21427346946703. The next prime is 21427346946737. The reversal of 21427346946720 is 2764964372412.

It is an interprime number because it is at equal distance from previous prime (21427346946703) and next prime (21427346946737).

It is a super-2 number, since 2×21427346946720² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 967057882 + ... + 967080038.

It is an arithmetic number, because the mean of its divisors is an integer number (105211657026).

Almost surely, 2^{21427346946720} is an apocalyptic number.

21427346946720 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 21427346946720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40401276297984).

21427346946720 is an abundant number, since it is smaller than the sum of its proper divisors (59375205649248).

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

21427346946720 is a wasteful number, since it uses less digits than its factorization.

21427346946720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22465 (or 22457 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 21427346946720 in words is "twenty-one trillion, four hundred twenty-seven billion, three hundred forty-six million, nine hundred forty-six thousand, seven hundred twenty".