1742368320 has 784 divisors, whose sum is σ = 7835603328. Its totient is φ = 358318080.

The previous prime is 1742368283. The next prime is 1742368321. The reversal of 1742368320 is 238632471.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1742368321) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17962512 + ... + 17962608.

It is an arithmetic number, because the mean of its divisors is an integer number (9994392).

Almost surely, 2^1742368320 is an apocalyptic number.

1742368320 is a gapful number since it is divisible by the number (10) 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 1742368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917801664).

1742368320 is an abundant number, since it is smaller than the sum of its proper divisors (6093235008).

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

1742368320 is an equidigital number, since it uses as much as digits as its factorization.

1742368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1742368320 is about 41741.6856391785. The cubic root of 1742368320 is about 1203.3168237867.

The spelling of 1742368320 in words is "one billion, seven hundred forty-two million, three hundred sixty-eight thousand, three hundred twenty".