742586876160 has 576 divisors, whose sum is σ = 2598445301760. Its totient is φ = 180157317120.

The previous prime is 742586876159. The next prime is 742586876179. The reversal of 742586876160 is 61678685247.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 742586876094 and 742586876103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161534982 + ... + 161539578.

It is an arithmetic number, because the mean of its divisors is an integer number (4511189760).

Almost surely, 2^742586876160 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 742586876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299222650880).

742586876160 is an abundant number, since it is smaller than the sum of its proper divisors (1855858425600).

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

742586876160 is a wasteful number, since it uses less digits than its factorization.

742586876160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 742586876160 in words is "seven hundred forty-two billion, five hundred eighty-six million, eight hundred seventy-six thousand, one hundred sixty".