746616056940 has 576 divisors, whose sum is σ = 2551946342400. Its totient is φ = 175517134848.

The previous prime is 746616056933. The next prime is 746616056957. The reversal of 746616056940 is 49650616647.

746616056940 is a `hidden beast` number, since 7 + 4 + 66 + 16 + 0 + 569 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 812421801 + ... + 812422719.

It is an arithmetic number, because the mean of its divisors is an integer number (4430462400).

Almost surely, 2^746616056940 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 746616056940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275973171200).

746616056940 is an abundant number, since it is smaller than the sum of its proper divisors (1805330285460).

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

746616056940 is a wasteful number, since it uses less digits than its factorization.

746616056940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 746616056940 in words is "seven hundred forty-six billion, six hundred sixteen million, fifty-six thousand, nine hundred forty".