746320320000 has 600 divisors, whose sum is σ = 2702156783040. Its totient is φ = 198236160000.

The previous prime is 746320319989. The next prime is 746320320001. The reversal of 746320320000 is 23023647.

746320320000 is a `hidden beast` number, since 7 + 4 + 632 + 0 + 3 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746320320001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1379519730 + ... + 1379520270.

Almost surely, 2^746320320000 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 746320320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351078391520).

746320320000 is an abundant number, since it is smaller than the sum of its proper divisors (1955836463040).

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

746320320000 is an equidigital number, since it uses as much as digits as its factorization.

746320320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 746320320000 its reverse (23023647), we get a palindrome (746343343647).

The spelling of 746320320000 in words is "seven hundred forty-six billion, three hundred twenty million, three hundred twenty thousand".