742675680 has 288 divisors, whose sum is σ = 2656862208. Its totient is φ = 188697600.

The previous prime is 742675639. The next prime is 742675693. The reversal of 742675680 is 86576247.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5669215 + ... + 5669345.

It is an arithmetic number, because the mean of its divisors is an integer number (9225216).

Almost surely, 2^742675680 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 742675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328431104).

742675680 is an abundant number, since it is smaller than the sum of its proper divisors (1914186528).

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

742675680 is a wasteful number, since it uses less digits than its factorization.

742675680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 742675680 is about 27252.0766181221. The cubic root of 742675680 is about 905.5930221882.

The spelling of 742675680 in words is "seven hundred forty-two million, six hundred seventy-five thousand, six hundred eighty".