742928286912 has 224 divisors, whose sum is σ = 2385702079488. Its totient is φ = 199184154624.

The previous prime is 742928286901. The next prime is 742928286923. The reversal of 742928286912 is 219682829247.

It is an interprime number because it is at equal distance from previous prime (742928286901) and next prime (742928286923).

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7651533 + ... + 7748019.

It is an arithmetic number, because the mean of its divisors is an integer number (10650455712).

Almost surely, 2^742928286912 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 742928286912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192851039744).

742928286912 is an abundant number, since it is smaller than the sum of its proper divisors (1642773792576).

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

742928286912 is a wasteful number, since it uses less digits than its factorization.

742928286912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96863 (or 96853 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 60.

The spelling of 742928286912 in words is "seven hundred forty-two billion, nine hundred twenty-eight million, two hundred eighty-six thousand, nine hundred twelve".