57973563648 has 1728 divisors, whose sum is σ = 249989376000. Its totient is φ = 13168189440.

The previous prime is 57973563647. The next prime is 57973563677. The reversal of 57973563648 is 84636537975.

57973563648 is a `hidden beast` number, since 5 + 7 + 9 + 7 + 3 + 563 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (57973563647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3051240183 + ... + 3051240201.

Almost surely, 2^57973563648 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 57973563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124994688000).

57973563648 is an abundant number, since it is smaller than the sum of its proper divisors (192015812352).

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

57973563648 is a wasteful number, since it uses less digits than its factorization.

57973563648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 55 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 57973563648 in words is "fifty-seven billion, nine hundred seventy-three million, five hundred sixty-three thousand, six hundred forty-eight".