56573672077440 has 768 divisors, whose sum is σ = 229188148300800. Its totient is φ = 12592491724800.

The previous prime is 56573672077393. The next prime is 56573672077471. The reversal of 56573672077440 is 4477027637565.

56573672077440 is a `hidden beast` number, since 5 + 6 + 57 + 3 + 6 + 72 + 0 + 77 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232403790 + ... + 232647090.

It is an arithmetic number, because the mean of its divisors is an integer number (298422068100).

Almost surely, 2^{56573672077440} 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 56573672077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114594074150400).

56573672077440 is an abundant number, since it is smaller than the sum of its proper divisors (172614476223360).

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

56573672077440 is a wasteful number, since it uses less digits than its factorization.

56573672077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243485 (or 243470 counting only the distinct ones).

The product of its (nonzero) digits is 207446400, while the sum is 63.

The spelling of 56573672077440 in words is "fifty-six trillion, five hundred seventy-three billion, six hundred seventy-two million, seventy-seven thousand, four hundred forty".