742905576 has 192 divisors, whose sum is σ = 2514170880. Its totient is φ = 193259520.

The previous prime is 742905571. The next prime is 742905613. The reversal of 742905576 is 675509247.

742905576 is a `hidden beast` number, since 7 + 4 + 2 + 90 + 557 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (742905571) 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, 264210 + ... + 267006.

It is an arithmetic number, because the mean of its divisors is an integer number (13094640).

Almost surely, 2^742905576 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 742905576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257085440).

742905576 is an abundant number, since it is smaller than the sum of its proper divisors (1771265304).

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

742905576 is a wasteful number, since it uses less digits than its factorization.

742905576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 742905576 is about 27256.2942455500. The cubic root of 742905576 is about 905.6864549569.

The spelling of 742905576 in words is "seven hundred forty-two million, nine hundred five thousand, five hundred seventy-six".