742208998880664 has 288 divisors, whose sum is σ = 2426404844298240. Its totient is φ = 204144626851200.

The previous prime is 742208998880647. The next prime is 742208998880677. The reversal of 742208998880664 is 466088899802247.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3123987 + ... + 38654589.

It is an arithmetic number, because the mean of its divisors is an integer number (8425016820480).

Almost surely, 2^{742208998880664} 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 742208998880664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213202422149120).

742208998880664 is an abundant number, since it is smaller than the sum of its proper divisors (1684195845417576).

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

742208998880664 is a wasteful number, since it uses less digits than its factorization.

742208998880664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35530851 (or 35530837 counting only the distinct ones).

The product of its (nonzero) digits is 5350883328, while the sum is 81.

The spelling of 742208998880664 in words is "seven hundred forty-two trillion, two hundred eight billion, nine hundred ninety-eight million, eight hundred eighty thousand, six hundred sixty-four".