742828705920 has 1152 divisors, whose sum is σ = 3191724432000. Its totient is φ = 155510046720.

The previous prime is 742828705903. The next prime is 742828705979. The reversal of 742828705920 is 29507828247.

742828705920 is a `hidden beast` number, since 7 + 4 + 28 + 28 + 7 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 736202376 + ... + 736203384.

It is an arithmetic number, because the mean of its divisors is an integer number (2770594125).

Almost surely, 2^742828705920 is an apocalyptic number.

742828705920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742828705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595862216000).

742828705920 is an abundant number, since it is smaller than the sum of its proper divisors (2448895726080).

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

742828705920 is a wasteful number, since it uses less digits than its factorization.

742828705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 742828705920 in words is "seven hundred forty-two billion, eight hundred twenty-eight million, seven hundred five thousand, nine hundred twenty".