742569984 has 192 divisors, whose sum is σ = 2371168800. Its totient is φ = 228261888.

The previous prime is 742569953. The next prime is 742570007. The reversal of 742569984 is 489965247.

742569984 is a `hidden beast` number, since 74 + 2 + 569 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×742569984² = 1102820362275520512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 742569984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718332 + ... + 719364.

Almost surely, 2^742569984 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 742569984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185584400).

742569984 is an abundant number, since it is smaller than the sum of its proper divisors (1628598816).

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

742569984 is a wasteful number, since it uses less digits than its factorization.

742569984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1051 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 742569984 is about 27250.1373207549. The cubic root of 742569984 is about 905.5500594685.

The spelling of 742569984 in words is "seven hundred forty-two million, five hundred sixty-nine thousand, nine hundred eighty-four".