719948328960 has 832 divisors, whose sum is σ = 2717577216000. Its totient is φ = 162656944128.

The previous prime is 719948328929. The next prime is 719948329007. The reversal of 719948328960 is 69823849917.

It is a junction number, because it is equal to n+sod(n) for n = 719948328891 and 719948328900.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2676387706 + ... + 2676387974.

Almost surely, 2^719948328960 is an apocalyptic number.

719948328960 is a gapful number since it is divisible by the number (70) 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 719948328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358788608000).

719948328960 is an abundant number, since it is smaller than the sum of its proper divisors (1997628887040).

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

719948328960 is a wasteful number, since it uses less digits than its factorization.

719948328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 66.

The spelling of 719948328960 in words is "seven hundred nineteen billion, nine hundred forty-eight million, three hundred twenty-eight thousand, nine hundred sixty".