1963687680 has 432 divisors, whose sum is σ = 7415501184. Its totient is φ = 477757440.

The previous prime is 1963687669. The next prime is 1963687681. The reversal of 1963687680 is 867863691.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1963687681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7245945 + ... + 7246215.

It is an arithmetic number, because the mean of its divisors is an integer number (17165512).

Almost surely, 2^1963687680 is an apocalyptic number.

1963687680 is a gapful number since it is divisible by the number (10) 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 1963687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707750592).

1963687680 is an abundant number, since it is smaller than the sum of its proper divisors (5451813504).

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

1963687680 is a wasteful number, since it uses less digits than its factorization.

1963687680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1963687680 is about 44313.5157711505. The cubic root of 1963687680 is about 1252.2493217469.

The spelling of 1963687680 in words is "one billion, nine hundred sixty-three million, six hundred eighty-seven thousand, six hundred eighty".