6395977728 has 504 divisors, whose sum is σ = 23216414832. Its totient is φ = 1719926784.

The previous prime is 6395977723. The next prime is 6395977781. The reversal of 6395977728 is 8277795936.

6395977728 is a `hidden beast` number, since 6 + 39 + 597 + 7 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6395977723) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 376233976 + ... + 376233992.

Almost surely, 2^6395977728 is an apocalyptic number.

6395977728 is a gapful number since it is divisible by the number (68) 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 6395977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11608207416).

6395977728 is an abundant number, since it is smaller than the sum of its proper divisors (16820437104).

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

6395977728 is an frugal number, since it uses more digits than its factorization.

6395977728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 29 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The square root of 6395977728 is about 79974.8568488872. The cubic root of 6395977728 is about 1856.2464991670.

The spelling of 6395977728 in words is "six billion, three hundred ninety-five million, nine hundred seventy-seven thousand, seven hundred twenty-eight".