1742480060076 has 288 divisors, whose sum is σ = 5434900144128. Its totient is φ = 459759421440.

The previous prime is 1742480060033. The next prime is 1742480060117. The reversal of 1742480060076 is 6700600842471.

1742480060076 is a `hidden beast` number, since 1 + 7 + 42 + 480 + 0 + 60 + 0 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77788510 + ... + 77810906.

It is an arithmetic number, because the mean of its divisors is an integer number (18871181056).

Almost surely, 2^{1742480060076} 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 1742480060076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717450072064).

1742480060076 is an abundant number, since it is smaller than the sum of its proper divisors (3692420084052).

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

1742480060076 is a wasteful number, since it uses less digits than its factorization.

1742480060076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22901 (or 22896 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 1742480060076 in words is "one trillion, seven hundred forty-two billion, four hundred eighty million, sixty thousand, seventy-six".