21740546016 has 768 divisors, whose sum is σ = 83607552000. Its totient is φ = 5344911360.

The previous prime is 21740545991. The next prime is 21740546063. The reversal of 21740546016 is 61064504712.

21740546016 = 348³ + 349³ + ... + 564³.

21740546016 is a `hidden beast` number, since 2 + 1 + 7 + 40 + 5 + 4 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 60558445 + ... + 60558803.

It is an arithmetic number, because the mean of its divisors is an integer number (108864000).

Almost surely, 2^21740546016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21740546016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41803776000).

21740546016 is an abundant number, since it is smaller than the sum of its proper divisors (61867005984).

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

21740546016 is a wasteful number, since it uses less digits than its factorization.

21740546016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 21740546016 in words is "twenty-one billion, seven hundred forty million, five hundred forty-six thousand, sixteen".