734828336640 has 320 divisors, whose sum is σ = 2700184766400. Its totient is φ = 189196664832.

The previous prime is 734828336639. The next prime is 734828336651. The reversal of 734828336640 is 46633828437.

734828336640 is a `hidden beast` number, since 73 + 482 + 8 + 3 + 36 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1821184 + ... + 2187776.

It is an arithmetic number, because the mean of its divisors is an integer number (8438077395).

Almost surely, 2^734828336640 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 734828336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350092383200).

734828336640 is an abundant number, since it is smaller than the sum of its proper divisors (1965356429760).

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

734828336640 is a wasteful number, since it uses less digits than its factorization.

734828336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366654 (or 366632 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 734828336640 in words is "seven hundred thirty-four billion, eight hundred twenty-eight million, three hundred thirty-six thousand, six hundred forty".