1932896661696 has 2688 divisors, whose sum is σ = 8281508659200. Its totient is φ = 429185433600.

The previous prime is 1932896661679. The next prime is 1932896661737. The reversal of 1932896661696 is 6961666982391.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17105280136 + ... + 17105280248.

It is an arithmetic number, because the mean of its divisors is an integer number (3080918400).

Almost surely, 2^{1932896661696} is an apocalyptic number.

1932896661696 is a gapful number since it is divisible by the number (16) 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 1932896661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140754329600).

1932896661696 is an abundant number, since it is smaller than the sum of its proper divisors (6348611997504).

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

1932896661696 is a wasteful number, since it uses less digits than its factorization.

1932896661696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its digits is 272097792, while the sum is 72.

The spelling of 1932896661696 in words is "one trillion, nine hundred thirty-two billion, eight hundred ninety-six million, six hundred sixty-one thousand, six hundred ninety-six".