746129779200 has 720 divisors, whose sum is σ = 2901697638840. Its totient is φ = 181996093440.

The previous prime is 746129779189. The next prime is 746129779207. The reversal of 746129779200 is 2977921647.

746129779200 is a `hidden beast` number, since 7 + 461 + 2 + 97 + 7 + 92 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 187080470784 + 559049308416 = 432528^2 + 747696^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (746129779207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 169226596 + ... + 169231004.

Almost surely, 2^746129779200 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 746129779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450848819420).

746129779200 is an abundant number, since it is smaller than the sum of its proper divisors (2155567859640).

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

746129779200 is a wasteful number, since it uses less digits than its factorization.

746129779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4569 (or 4545 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 746129779200 in words is "seven hundred forty-six billion, one hundred twenty-nine million, seven hundred seventy-nine thousand, two hundred".