719745796224 has 1024 divisors, whose sum is σ = 2872267776000. Its totient is φ = 171980734464.

The previous prime is 719745796207. The next prime is 719745796241. The reversal of 719745796224 is 422697547917.

719745796224 is a `hidden beast` number, since 7 + 1 + 97 + 457 + 96 + 2 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (719745796207) and next prime (719745796241).

It is a super-2 number, since 2×719745796224² (a number of 25 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 137432134 + ... + 137437370.

It is an arithmetic number, because the mean of its divisors is an integer number (2804949000).

Almost surely, 2^719745796224 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 719745796224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436133888000).

719745796224 is an abundant number, since it is smaller than the sum of its proper divisors (2152521979776).

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

719745796224 is a wasteful number, since it uses less digits than its factorization.

719745796224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322 (or 5304 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 719745796224 in words is "seven hundred nineteen billion, seven hundred forty-five million, seven hundred ninety-six thousand, two hundred twenty-four".