734731023312 has 1440 divisors, whose sum is σ = 2691496304640. Its totient is φ = 184923648000.

The previous prime is 734731023307. The next prime is 734731023361. The reversal of 734731023312 is 213320137437.

734731023312 is a `hidden beast` number, since 7 + 3 + 4 + 7 + 310 + 2 + 331 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10348324237 + ... + 10348324307.

It is an arithmetic number, because the mean of its divisors is an integer number (1869094656).

Almost surely, 2^734731023312 is an apocalyptic number.

734731023312 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 734731023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345748152320).

734731023312 is an abundant number, since it is smaller than the sum of its proper divisors (1956765281328).

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

734731023312 is a wasteful number, since it uses less digits than its factorization.

734731023312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 734731023312 in words is "seven hundred thirty-four billion, seven hundred thirty-one million, twenty-three thousand, three hundred twelve".