742721920512 has 640 divisors, whose sum is σ = 2472366758400. Its totient is φ = 194657648640.

The previous prime is 742721920477. The next prime is 742721920531. The reversal of 742721920512 is 215029127247.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1654168864 + ... + 1654169312.

It is an arithmetic number, because the mean of its divisors is an integer number (3863073060).

Almost surely, 2^742721920512 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 742721920512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236183379200).

742721920512 is an abundant number, since it is smaller than the sum of its proper divisors (1729644837888).

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

742721920512 is a wasteful number, since it uses less digits than its factorization.

742721920512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 742721920512 in words is "seven hundred forty-two billion, seven hundred twenty-one million, nine hundred twenty thousand, five hundred twelve".