734744323872 has 768 divisors, whose sum is σ = 2528983296000. Its totient is φ = 205486460928.

The previous prime is 734744323867. The next prime is 734744323909. The reversal of 734744323872 is 278323447437.

734744323872 is a `hidden beast` number, since 73 + 4 + 74 + 432 + 3 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1404864603 + ... + 1404865125.

It is an arithmetic number, because the mean of its divisors is an integer number (3292947000).

Almost surely, 2^734744323872 is an apocalyptic number.

734744323872 is a gapful number since it is divisible by the number (72) 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 734744323872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264491648000).

734744323872 is an abundant number, since it is smaller than the sum of its proper divisors (1794238972128).

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

734744323872 is a wasteful number, since it uses less digits than its factorization.

734744323872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 816 counting only the distinct ones).

The product of its digits is 18966528, while the sum is 54.

The spelling of 734744323872 in words is "seven hundred thirty-four billion, seven hundred forty-four million, three hundred twenty-three thousand, eight hundred seventy-two".