746296129440 has 288 divisors, whose sum is σ = 2708137360656. Its totient is φ = 186500382720.

The previous prime is 746296129433. The next prime is 746296129451. The reversal of 746296129440 is 44921692647.

746296129440 is a `hidden beast` number, since 7 + 4 + 629 + 6 + 1 + 2 + 9 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 118785001104 + 627511128336 = 344652^2 + 792156^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5638420 + ... + 5769260.

Almost surely, 2^746296129440 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 746296129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354068680328).

746296129440 is an abundant number, since it is smaller than the sum of its proper divisors (1961841231216).

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

746296129440 is a wasteful number, since it uses less digits than its factorization.

746296129440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131112 (or 131101 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 746296129440 in words is "seven hundred forty-six billion, two hundred ninety-six million, one hundred twenty-nine thousand, four hundred forty".