742792495872 has 432 divisors, whose sum is σ = 2425472864640. Its totient is φ = 200661221376.

The previous prime is 742792495871. The next prime is 742792495873. The reversal of 742792495872 is 278594297247.

It is an interprime number because it is at equal distance from previous prime (742792495871) and next prime (742792495873).

It is not an unprimeable number, because it can be changed into a prime (742792495871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 677112028 + ... + 677113124.

It is an arithmetic number, because the mean of its divisors is an integer number (5614520520).

Almost surely, 2^742792495872 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 742792495872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212736432320).

742792495872 is an abundant number, since it is smaller than the sum of its proper divisors (1682680368768).

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

742792495872 is a wasteful number, since it uses less digits than its factorization.

742792495872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2075 counting only the distinct ones).

The product of its digits is 142248960, while the sum is 66.

The spelling of 742792495872 in words is "seven hundred forty-two billion, seven hundred ninety-two million, four hundred ninety-five thousand, eight hundred seventy-two".