742329224000 has 1344 divisors, whose sum is σ = 2460791144448. Its totient is φ = 219469824000.

The previous prime is 742329223949. The next prime is 742329224017. The reversal of 742329224000 is 422923247.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5845111937 + ... + 5845112063.

It is an arithmetic number, because the mean of its divisors is an integer number (1830945792).

Almost surely, 2^742329224000 is an apocalyptic number.

742329224000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742329224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230395572224).

742329224000 is an abundant number, since it is smaller than the sum of its proper divisors (1718461920448).

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

742329224000 is a wasteful number, since it uses less digits than its factorization.

742329224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 742329224000 in words is "seven hundred forty-two billion, three hundred twenty-nine million, two hundred twenty-four thousand".