1742648392320 has 512 divisors, whose sum is σ = 6446802908160. Its totient is φ = 395708006400.

The previous prime is 1742648392283. The next prime is 1742648392321. The reversal of 1742648392320 is 232938462471.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (1742648392321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75745939 + ... + 75768941.

It is an arithmetic number, because the mean of its divisors is an integer number (12591411930).

Almost surely, 2^{1742648392320} is an apocalyptic number.

1742648392320 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 1742648392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223401454080).

1742648392320 is an abundant number, since it is smaller than the sum of its proper divisors (4704154515840).

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

1742648392320 is a wasteful number, since it uses less digits than its factorization.

1742648392320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23264 (or 23252 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 1742648392320 in words is "one trillion, seven hundred forty-two billion, six hundred forty-eight million, three hundred ninety-two thousand, three hundred twenty".