57743223840 has 384 divisors, whose sum is σ = 209268541440. Its totient is φ = 14855270400.

The previous prime is 57743223829. The next prime is 57743223869. The reversal of 57743223840 is 4832234775.

57743223840 is a `hidden beast` number, since 577 + 4 + 3 + 2 + 2 + 38 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72450322 + ... + 72451118.

It is an arithmetic number, because the mean of its divisors is an integer number (544970160).

Almost surely, 2^57743223840 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 57743223840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104634270720).

57743223840 is an abundant number, since it is smaller than the sum of its proper divisors (151525317600).

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

57743223840 is a wasteful number, since it uses less digits than its factorization.

57743223840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 57743223840 in words is "fifty-seven billion, seven hundred forty-three million, two hundred twenty-three thousand, eight hundred forty".