742983045504 has 512 divisors, whose sum is σ = 2432332800000. Its totient is φ = 200305502208.

The previous prime is 742983045451. The next prime is 742983045517. The reversal of 742983045504 is 405540389247.

742983045504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×742983045504² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 898407139 + ... + 898407965.

It is an arithmetic number, because the mean of its divisors is an integer number (4750650000).

Almost surely, 2^742983045504 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 742983045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216166400000).

742983045504 is an abundant number, since it is smaller than the sum of its proper divisors (1689349754496).

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

742983045504 is a wasteful number, since it uses less digits than its factorization.

742983045504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 742983045504 in words is "seven hundred forty-two billion, nine hundred eighty-three million, forty-five thousand, five hundred four".