735428846720 has 128 divisors (see below), whose sum is σ = 1768234158000. Its totient is φ = 292485316608.

The previous prime is 735428846617. The next prime is 735428846723. The reversal of 735428846720 is 27648824537.

It can be written as a sum of positive squares in 8 ways, for example, as 346581818944 + 388847027776 = 588712^2 + 623576^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (735428846723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121495214 + ... + 121501266.

Almost surely, 2^735428846720 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 735428846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884117079000).

735428846720 is an abundant number, since it is smaller than the sum of its proper divisors (1032805311280).

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

735428846720 is a wasteful number, since it uses less digits than its factorization.

735428846720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7130 (or 7118 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 56.

The spelling of 735428846720 in words is "seven hundred thirty-five billion, four hundred twenty-eight million, eight hundred forty-six thousand, seven hundred twenty".