1917656664 has 128 divisors (see below), whose sum is σ = 5988902400. Its totient is φ = 497111040.

The previous prime is 1917656603. The next prime is 1917656677. The reversal of 1917656664 is 4666567191.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1716234 + ... + 1717350.

It is an arithmetic number, because the mean of its divisors is an integer number (46788300).

Almost surely, 2^1917656664 is an apocalyptic number.

1917656664 is a gapful number since it is divisible by the number (14) 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 1917656664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994451200).

1917656664 is an abundant number, since it is smaller than the sum of its proper divisors (4071245736).

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

1917656664 is a wasteful number, since it uses less digits than its factorization.

1917656664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2069 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 1917656664 is about 43791.0568952155. The cubic root of 1917656664 is about 1242.3871514063.

The spelling of 1917656664 in words is "one billion, nine hundred seventeen million, six hundred fifty-six thousand, six hundred sixty-four".