742236760561456 has 160 divisors (see below), whose sum is σ = 1523774052218880. Its totient is φ = 349544257210368.

The previous prime is 742236760561403. The next prime is 742236760561487. The reversal of 742236760561456 is 654165067632247.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41846795020 + ... + 41846812756.

It is an arithmetic number, because the mean of its divisors is an integer number (9523587826368).

Almost surely, 2^{742236760561456} 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 742236760561456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761887026109440).

742236760561456 is an abundant number, since it is smaller than the sum of its proper divisors (781537291657424).

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

742236760561456 is a wasteful number, since it uses less digits than its factorization.

742236760561456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24291 (or 24285 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 64.

The spelling of 742236760561456 in words is "seven hundred forty-two trillion, two hundred thirty-six billion, seven hundred sixty million, five hundred sixty-one thousand, four hundred fifty-six".