742541230080 has 800 divisors, whose sum is σ = 2877583401000. Its totient is φ = 182099902464.

The previous prime is 742541230073. The next prime is 742541230091. The reversal of 742541230080 is 80032145247.

It is a happy number.

742541230080 is a `hidden beast` number, since 7 + 4 + 2 + 541 + 2 + 30 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 271132655616 + 471408574464 = 520704^2 + 686592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2760376186 + ... + 2760376454.

Almost surely, 2^742541230080 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 742541230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438791700500).

742541230080 is an abundant number, since it is smaller than the sum of its proper divisors (2135042170920).

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

742541230080 is an frugal number, since it uses more digits than its factorization.

742541230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 742541230080 in words is "seven hundred forty-two billion, five hundred forty-one million, two hundred thirty thousand, eighty".