742252498680 has 512 divisors, whose sum is σ = 2870665297920. Its totient is φ = 149058048000.

The previous prime is 742252498627. The next prime is 742252498697. The reversal of 742252498680 is 86894252247.

It is a self number, because there is not a number n which added to its sum of digits gives 742252498680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40526725 + ... + 40545035.

It is an arithmetic number, because the mean of its divisors is an integer number (5606768160).

Almost surely, 2^742252498680 is an apocalyptic number.

742252498680 is a gapful number since it is divisible by the number (70) 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 742252498680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435332648960).

742252498680 is an abundant number, since it is smaller than the sum of its proper divisors (2128412799240).

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

742252498680 is a wasteful number, since it uses less digits than its factorization.

742252498680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18491 (or 18487 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 742252498680 in words is "seven hundred forty-two billion, two hundred fifty-two million, four hundred ninety-eight thousand, six hundred eighty".