6056273664 has 576 divisors, whose sum is σ = 22369536000. Its totient is φ = 1576599552.

The previous prime is 6056273651. The next prime is 6056273683. The reversal of 6056273664 is 4663726506.

6056273664 is a `hidden beast` number, since 605 + 6 + 2 + 7 + 36 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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, 30433437 + ... + 30433635.

It is an arithmetic number, because the mean of its divisors is an integer number (38836000).

Almost surely, 2^6056273664 is an apocalyptic number.

6056273664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6056273664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11184768000).

6056273664 is an abundant number, since it is smaller than the sum of its proper divisors (16313262336).

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

6056273664 is a wasteful number, since it uses less digits than its factorization.

6056273664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 6056273664 is about 77822.0641206593. The cubic root of 6056273664 is about 1822.7838153061.

The spelling of 6056273664 in words is "six billion, fifty-six million, two hundred seventy-three thousand, six hundred sixty-four".