742817267712 has 798 divisors, whose sum is σ = 2516816674872. Its totient is φ = 218621804544.

The previous prime is 742817267671. The next prime is 742817267723. The reversal of 742817267712 is 217762718247.

It is a happy number.

It is a super-2 number, since 2×742817267712² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 32296402933 + ... + 32296402955.

Almost surely, 2^742817267712 is an apocalyptic number.

742817267712 is a gapful number since it is divisible by the number (72) 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 742817267712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258408337436).

742817267712 is an abundant number, since it is smaller than the sum of its proper divisors (1773999407160).

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

742817267712 is an frugal number, since it uses more digits than its factorization.

742817267712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 41 counting only the distinct ones).

The product of its digits is 3687936, while the sum is 54.

The spelling of 742817267712 in words is "seven hundred forty-two billion, eight hundred seventeen million, two hundred sixty-seven thousand, seven hundred twelve".