6356728560 has 640 divisors, whose sum is σ = 25758351360. Its totient is φ = 1260748800.

The previous prime is 6356728549. The next prime is 6356728561. The reversal of 6356728560 is 658276536.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6356728561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27758526 + ... + 27758754.

It is an arithmetic number, because the mean of its divisors is an integer number (40247424).

Almost surely, 2^6356728560 is an apocalyptic number.

6356728560 is a gapful number since it is divisible by the number (60) 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 6356728560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12879175680).

6356728560 is an abundant number, since it is smaller than the sum of its proper divisors (19401622800).

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

6356728560 is a wasteful number, since it uses less digits than its factorization.

6356728560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The square root of 6356728560 is about 79729.0948148792. The cubic root of 6356728560 is about 1852.4417293507.

The spelling of 6356728560 in words is "six billion, three hundred fifty-six million, seven hundred twenty-eight thousand, five hundred sixty".