742725697536 has 360 divisors, whose sum is σ = 2322080377344. Its totient is φ = 236781895680.

The previous prime is 742725697517. The next prime is 742725697547. The reversal of 742725697536 is 635796527247.

It is a happy number.

742725697536 is a `hidden beast` number, since 7 + 4 + 2 + 7 + 2 + 5 + 6 + 97 + 536 = 666.

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 23 ways as a sum of consecutive naturals, for example, 91566121 + ... + 91574231.

Almost surely, 2^742725697536 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 742725697536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161040188672).

742725697536 is an abundant number, since it is smaller than the sum of its proper divisors (1579354679808).

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

742725697536 is an frugal number, since it uses more digits than its factorization.

742725697536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8177 (or 8139 counting only the distinct ones).

The product of its digits is 133358400, while the sum is 63.

The spelling of 742725697536 in words is "seven hundred forty-two billion, seven hundred twenty-five million, six hundred ninety-seven thousand, five hundred thirty-six".