742005648 has 60 divisors (see below), whose sum is σ = 2078416080. Its totient is φ = 247117248.

The previous prime is 742005643. The next prime is 742005661. The reversal of 742005648 is 846500247.

742005648 is a `hidden beast` number, since 7 + 4 + 2 + 0 + 0 + 5 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (742005643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316063 + ... + 318401.

It is an arithmetic number, because the mean of its divisors is an integer number (34640268).

Almost surely, 2^742005648 is an apocalyptic number.

It is an amenable number.

742005648 is an abundant number, since it is smaller than the sum of its proper divisors (1336410432).

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

742005648 is a wasteful number, since it uses less digits than its factorization.

742005648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 742005648 is about 27239.7806158567. The cubic root of 742005648 is about 905.3206023029.

The spelling of 742005648 in words is "seven hundred forty-two million, five thousand, six hundred forty-eight".