746631680 has 160 divisors (see below), whose sum is σ = 1889276400. Its totient is φ = 282591232.

The previous prime is 746631679. The next prime is 746631703. The reversal of 746631680 is 86136647.

It can be written as a sum of positive squares in 8 ways, for example, as 40347904 + 706283776 = 6352^2 + 26576^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6607304 + ... + 6607416.

Almost surely, 2^746631680 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 746631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944638200).

746631680 is an abundant number, since it is smaller than the sum of its proper divisors (1142644720).

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

746631680 is a wasteful number, since it uses less digits than its factorization.

746631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 746631680 is about 27324.5618446115. The cubic root of 746631680 is about 907.1981121140.

The spelling of 746631680 in words is "seven hundred forty-six million, six hundred thirty-one thousand, six hundred eighty".