1691129664 has 280 divisors, whose sum is σ = 5930432640. Its totient is φ = 466228224.

The previous prime is 1691129663. The next prime is 1691129707. The reversal of 1691129664 is 4669211961.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1691129663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1051549 + ... + 1053155.

Almost surely, 2^1691129664 is an apocalyptic number.

1691129664 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 1691129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965216320).

1691129664 is an abundant number, since it is smaller than the sum of its proper divisors (4239302976).

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

1691129664 is a wasteful number, since it uses less digits than its factorization.

1691129664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1648 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 1691129664 is about 41123.3469455004. The cubic root of 1691129664 is about 1191.4037677003.

The spelling of 1691129664 in words is "one billion, six hundred ninety-one million, one hundred twenty-nine thousand, six hundred sixty-four".