57724980480 has 432 divisors, whose sum is σ = 216151528320. Its totient is φ = 14722228224.

The previous prime is 57724980451. The next prime is 57724980517. The reversal of 57724980480 is 8408942775.

It is a happy number.

57724980480 is a `hidden beast` number, since 5 + 7 + 72 + 4 + 98 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 7149886 + ... + 7157954.

It is an arithmetic number, because the mean of its divisors is an integer number (500350760).

Almost surely, 2^57724980480 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 57724980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108075764160).

57724980480 is an abundant number, since it is smaller than the sum of its proper divisors (158426547840).

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

57724980480 is an equidigital number, since it uses as much as digits as its factorization.

57724980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8128 (or 8102 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 57724980480 in words is "fifty-seven billion, seven hundred twenty-four million, nine hundred eighty thousand, four hundred eighty".