21735350767 has 12 divisors (see below), whose sum is σ = 23676876720. Its totient is φ = 19943234688.

The previous prime is 21735350759. The next prime is 21735350779. The reversal of 21735350767 is 76705353712.

It is not a de Polignac number, because 21735350767 - 2³ = 21735350759 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21735350717) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 356842 + ... + 413287.

It is an arithmetic number, because the mean of its divisors is an integer number (1973073060).

Almost surely, 2^21735350767 is an apocalyptic number.

21735350767 is a deficient number, since it is larger than the sum of its proper divisors (1941525953).

21735350767 is a wasteful number, since it uses less digits than its factorization.

21735350767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770322 (or 770309 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 46.

The spelling of 21735350767 in words is "twenty-one billion, seven hundred thirty-five million, three hundred fifty thousand, seven hundred sixty-seven".