6265939680 has 1728 divisors, whose sum is σ = 31621943808. Its totient is φ = 1149603840.

The previous prime is 6265939637. The next prime is 6265939711. The reversal of 6265939680 is 869395626.

6265939680 is a `hidden beast` number, since 626 + 5 + 9 + 3 + 9 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 272432149 + ... + 272432171.

It is an arithmetic number, because the mean of its divisors is an integer number (18299736).

Almost surely, 2^6265939680 is an apocalyptic number.

6265939680 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 6265939680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15810971904).

6265939680 is an abundant number, since it is smaller than the sum of its proper divisors (25356004128).

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

6265939680 is a wasteful number, since it uses less digits than its factorization.

6265939680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 6265939680 is about 79157.6886979401. The cubic root of 6265939680 is about 1843.5803475346.

The spelling of 6265939680 in words is "six billion, two hundred sixty-five million, nine hundred thirty-nine thousand, six hundred eighty".