1931968039680 has 504 divisors, whose sum is σ = 7929543162912. Its totient is φ = 441591201792.

The previous prime is 1931968039571. The next prime is 1931968039709. The reversal of 1931968039680 is 869308691391.

1931968039680 is a `hidden beast` number, since 1 + 9 + 3 + 1 + 96 + 80 + 396 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6383952 + ... + 6679728.

Almost surely, 2^{1931968039680} is an apocalyptic number.

1931968039680 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 1931968039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964771581456).

1931968039680 is an abundant number, since it is smaller than the sum of its proper divisors (5997575123232).

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

1931968039680 is an frugal number, since it uses more digits than its factorization.

1931968039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295823 (or 295794 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 1931968039680 in words is "one trillion, nine hundred thirty-one billion, nine hundred sixty-eight million, thirty-nine thousand, six hundred eighty".