1789966464 has 256 divisors, whose sum is σ = 5743301760. Its totient is φ = 486604800.

The previous prime is 1789966457. The next prime is 1789966469. The reversal of 1789966464 is 4646699871.

It is a junction number, because it is equal to n+sod(n) for n = 1789966398 and 1789966407.

It is not an unprimeable number, because it can be changed into a prime (1789966469) 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, 2031304 + ... + 2032184.

Almost surely, 2^1789966464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1789966464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871650880).

1789966464 is an abundant number, since it is smaller than the sum of its proper divisors (3953335296).

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

1789966464 is a wasteful number, since it uses less digits than its factorization.

1789966464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 947 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 60.

The square root of 1789966464 is about 42307.9952727614. The cubic root of 1789966464 is about 1214.1759644767.

The spelling of 1789966464 in words is "one billion, seven hundred eighty-nine million, nine hundred sixty-six thousand, four hundred sixty-four".