684949834017 has 32 divisors (see below), whose sum is σ = 1032121157760. Its totient is φ = 448841511360.

The previous prime is 684949834013. The next prime is 684949834021. The reversal of 684949834017 is 710438949486.

684949834017 is a `hidden beast` number, since 6 + 8 + 494 + 98 + 3 + 40 + 17 = 666.

It is an interprime number because it is at equal distance from previous prime (684949834013) and next prime (684949834021).

It is not a de Polignac number, because 684949834017 - 2² = 684949834013 is a prime.

It is not an unprimeable number, because it can be changed into a prime (684949834013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423283 + ... + 1244615.

It is an arithmetic number, because the mean of its divisors is an integer number (32253786180).

Almost surely, 2^684949834017 is an apocalyptic number.

684949834017 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

It is an amenable number.

684949834017 is a deficient number, since it is larger than the sum of its proper divisors (347171323743).

684949834017 is a wasteful number, since it uses less digits than its factorization.

684949834017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821870 (or 821864 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 684949834017 in words is "six hundred eighty-four billion, nine hundred forty-nine million, eight hundred thirty-four thousand, seventeen".