734493450240 has 896 divisors, whose sum is σ = 2873447136000. Its totient is φ = 176522526720.

The previous prime is 734493450239. The next prime is 734493450263. The reversal of 734493450240 is 42054394437.

734493450240 is a `hidden beast` number, since 7 + 34 + 49 + 34 + 502 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2104565586 + ... + 2104565934.

It is an arithmetic number, because the mean of its divisors is an integer number (3206972250).

Almost surely, 2^734493450240 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 734493450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436723568000).

734493450240 is an abundant number, since it is smaller than the sum of its proper divisors (2138953685760).

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

734493450240 is a wasteful number, since it uses less digits than its factorization.

734493450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 734493450240 in words is "seven hundred thirty-four billion, four hundred ninety-three million, four hundred fifty thousand, two hundred forty".