57673062720 has 1120 divisors, whose sum is σ = 258165600000. Its totient is φ = 12143996928.

The previous prime is 57673062709. The next prime is 57673062739. The reversal of 57673062720 is 2726037675.

57673062720 is a `hidden beast` number, since 5 + 76 + 7 + 306 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-3 number, since 3×57673062720³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 115577031 + ... + 115577529.

It is an arithmetic number, because the mean of its divisors is an integer number (230505000).

Almost surely, 2^57673062720 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 57673062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129082800000).

57673062720 is an abundant number, since it is smaller than the sum of its proper divisors (200492537280).

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

57673062720 is a wasteful number, since it uses less digits than its factorization.

57673062720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 57673062720 in words is "fifty-seven billion, six hundred seventy-three million, sixty-two thousand, seven hundred twenty".