719890668672 has 512 divisors, whose sum is σ = 2275441459200. Its totient is φ = 197406720000.

The previous prime is 719890668661. The next prime is 719890668709. The reversal of 719890668672 is 276866098917.

719890668672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 719890668597 and 719890668606.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3012094729 + ... + 3012094967.

It is an arithmetic number, because the mean of its divisors is an integer number (4444221600).

Almost surely, 2^719890668672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 719890668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137720729600).

719890668672 is an abundant number, since it is smaller than the sum of its proper divisors (1555550790528).

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

719890668672 is a wasteful number, since it uses less digits than its factorization.

719890668672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 69.

It can be divided in two parts, 7198906 and 68672, that added together give a triangular number (7267578 = T₃₈₁₂).

The spelling of 719890668672 in words is "seven hundred nineteen billion, eight hundred ninety million, six hundred sixty-eight thousand, six hundred seventy-two".