1689996672 has 480 divisors, whose sum is σ = 6239731680. Its totient is φ = 436230144.

The previous prime is 1689996641. The next prime is 1689996689. The reversal of 1689996672 is 2766999861.

It is a happy number.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

Its product of digits (17635968) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35957353 + ... + 35957399.

It is an arithmetic number, because the mean of its divisors is an integer number (12999441).

Almost surely, 2^1689996672 is an apocalyptic number.

1689996672 is a gapful number since it is divisible by the number (12) 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 1689996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119865840).

1689996672 is an abundant number, since it is smaller than the sum of its proper divisors (4549735008).

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

1689996672 is an equidigital number, since it uses as much as digits as its factorization.

1689996672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 72 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The square root of 1689996672 is about 41109.5691050150. The cubic root of 1689996672 is about 1191.1376433204.

The spelling of 1689996672 in words is "one billion, six hundred eighty-nine million, nine hundred ninety-six thousand, six hundred seventy-two".