717728063401440 has 2304 divisors, whose sum is σ = 3225958377062400. Its totient is φ = 145774395187200.

The previous prime is 717728063401411. The next prime is 717728063401451. The reversal of 717728063401440 is 44104360827717.

It is a happy number.

717728063401440 is a `hidden beast` number, since 7 + 1 + 7 + 7 + 280 + 6 + 340 + 14 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30259613901 + ... + 30259637619.

It is an arithmetic number, because the mean of its divisors is an integer number (1400155545600).

Almost surely, 2^{717728063401440} is an apocalyptic number.

717728063401440 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 717728063401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612979188531200).

717728063401440 is an abundant number, since it is smaller than the sum of its proper divisors (2508230313660960).

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

717728063401440 is a wasteful number, since it uses less digits than its factorization.

717728063401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23998 (or 23971 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 717728063401440 in words is "seven hundred seventeen trillion, seven hundred twenty-eight billion, sixty-three million, four hundred one thousand, four hundred forty".