719641416 has 256 divisors, whose sum is σ = 2229292800. Its totient is φ = 191102976.

The previous prime is 719641357. The next prime is 719641441. The reversal of 719641416 is 614146917.

719641416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (36288) is a multiple of the sum of its prime factors (288).

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, 3728616 + ... + 3728808.

It is an arithmetic number, because the mean of its divisors is an integer number (8708175).

Almost surely, 2^719641416 is an apocalyptic number.

719641416 is a gapful number since it is divisible by the number (76) 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 719641416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114646400).

719641416 is an abundant number, since it is smaller than the sum of its proper divisors (1509651384).

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

719641416 is a wasteful number, since it uses less digits than its factorization.

719641416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 719641416 is about 26826.1330795178. The cubic root of 719641416 is about 896.1321320071.

The spelling of 719641416 in words is "seven hundred nineteen million, six hundred forty-one thousand, four hundred sixteen".