21734516340 has 72 divisors (see below), whose sum is σ = 66762608640. Its totient is φ = 5722501824.

The previous prime is 21734516329. The next prime is 21734516383. The reversal of 21734516340 is 4361543712.

21734516340 is a `hidden beast` number, since 2 + 17 + 3 + 4 + 5 + 1 + 634 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21734516295 and 21734516304.

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 23 ways as a sum of consecutive naturals, for example, 750004 + ... + 778443.

Almost surely, 2^21734516340 is an apocalyptic number.

21734516340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21734516340 is an abundant number, since it is smaller than the sum of its proper divisors (45028092300).

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

21734516340 is a wasteful number, since it uses less digits than its factorization.

21734516340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528541 (or 1528536 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 21734516340 in words is "twenty-one billion, seven hundred thirty-four million, five hundred sixteen thousand, three hundred forty".