742810708224 has 288 divisors, whose sum is σ = 2369858077440. Its totient is φ = 228145102848.

The previous prime is 742810708217. The next prime is 742810708243. The reversal of 742810708224 is 422807018247.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×742810708224² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 742810708224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51839749 + ... + 51854075.

It is an arithmetic number, because the mean of its divisors is an integer number (8228673880).

Almost surely, 2^742810708224 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 742810708224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184929038720).

742810708224 is an abundant number, since it is smaller than the sum of its proper divisors (1627047369216).

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

742810708224 is a wasteful number, since it uses less digits than its factorization.

742810708224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14942 (or 14922 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 742810708224 in words is "seven hundred forty-two billion, eight hundred ten million, seven hundred eight thousand, two hundred twenty-four".