742256556000 has 384 divisors, whose sum is σ = 2501216879616. Its totient is φ = 192287692800.

The previous prime is 742256555969. The next prime is 742256556017. The reversal of 742256556000 is 655652247.

742256556000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×742256556000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 569651349 + ... + 569652651.

It is an arithmetic number, because the mean of its divisors is an integer number (6513585624).

Almost surely, 2^742256556000 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 742256556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250608439808).

742256556000 is an abundant number, since it is smaller than the sum of its proper divisors (1758960323616).

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

742256556000 is a wasteful number, since it uses less digits than its factorization.

742256556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 742256556000 in words is "seven hundred forty-two billion, two hundred fifty-six million, five hundred fifty-six thousand".