2017349640768 has 336 divisors, whose sum is σ = 6956546497344. Its totient is φ = 509824143360.

The previous prime is 2017349640743. The next prime is 2017349640773. The reversal of 2017349640768 is 8670469437102.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3565630 + ... + 4092482.

Almost surely, 2^{2017349640768} is an apocalyptic number.

2017349640768 is a gapful number since it is divisible by the number (28) 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 2017349640768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478273248672).

2017349640768 is an abundant number, since it is smaller than the sum of its proper divisors (4939196856576).

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

2017349640768 is a wasteful number, since it uses less digits than its factorization.

2017349640768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526930 (or 526913 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 2017349640768 in words is "two trillion, seventeen billion, three hundred forty-nine million, six hundred forty thousand, seven hundred sixty-eight".