742315676667400 has 48 divisors (see below), whose sum is σ = 1882782489007440. Its totient is φ = 269932973332800.

The previous prime is 742315676667379. The next prime is 742315676667407. The reversal of 742315676667400 is 4766676513247.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (742315676667407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168708106134 + ... + 168708110533.

It is an arithmetic number, because the mean of its divisors is an integer number (39224635187655).

Almost surely, 2^{742315676667400} is an apocalyptic number.

It is an amenable number.

742315676667400 is an abundant number, since it is smaller than the sum of its proper divisors (1140466812340040).

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

742315676667400 is a wasteful number, since it uses less digits than its factorization.

742315676667400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337416216694 (or 337416216685 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 64.

The spelling of 742315676667400 in words is "seven hundred forty-two trillion, three hundred fifteen billion, six hundred seventy-six million, six hundred sixty-seven thousand, four hundred".