1742720053704 has 256 divisors, whose sum is σ = 5189217108480. Its totient is φ = 477329448960.

The previous prime is 1742720053693. The next prime is 1742720053709. The reversal of 1742720053704 is 4073500272471.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1742720053709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 731926594 + ... + 731928974.

It is an arithmetic number, because the mean of its divisors is an integer number (20270379330).

Almost surely, 2^{1742720053704} is an apocalyptic number.

1742720053704 is a gapful number since it is divisible by the number (14) 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 1742720053704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594608554240).

1742720053704 is an abundant number, since it is smaller than the sum of its proper divisors (3446497054776).

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

1742720053704 is a wasteful number, since it uses less digits than its factorization.

1742720053704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The spelling of 1742720053704 in words is "one trillion, seven hundred forty-two billion, seven hundred twenty million, fifty-three thousand, seven hundred four".