742460247360 has 1792 divisors, whose sum is σ = 3104172933120. Its totient is φ = 165542952960.

The previous prime is 742460247323. The next prime is 742460247437. The reversal of 742460247360 is 63742064247.

742460247360 is a `hidden beast` number, since 7 + 4 + 2 + 4 + 602 + 4 + 7 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5846143617 + ... + 5846143743.

It is an arithmetic number, because the mean of its divisors is an integer number (1732239360).

Almost surely, 2^742460247360 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 742460247360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552086466560).

742460247360 is an abundant number, since it is smaller than the sum of its proper divisors (2361712685760).

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

742460247360 is a wasteful number, since it uses less digits than its factorization.

742460247360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 742460247360 in words is "seven hundred forty-two billion, four hundred sixty million, two hundred forty-seven thousand, three hundred sixty".