56729040480 has 432 divisors, whose sum is σ = 228066995520. Its totient is φ = 12801245184.

The previous prime is 56729040421. The next prime is 56729040481. The reversal of 56729040480 is 8404092765.

It is a happy number.

56729040480 is a `hidden beast` number, since 567 + 2 + 9 + 0 + 4 + 0 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56729040481) 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, 5569152 + ... + 5579328.

It is an arithmetic number, because the mean of its divisors is an integer number (527932860).

Almost surely, 2^56729040480 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 56729040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114033497760).

56729040480 is an abundant number, since it is smaller than the sum of its proper divisors (171337955040).

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

56729040480 is a wasteful number, since it uses less digits than its factorization.

56729040480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10291 (or 10273 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 56729040480 in words is "fifty-six billion, seven hundred twenty-nine million, forty thousand, four hundred eighty".