6285579048 has 256 divisors, whose sum is σ = 21354278400. Its totient is φ = 1672151040.

The previous prime is 6285579037. The next prime is 6285579059. The reversal of 6285579048 is 8409755826.

6285579048 is a `hidden beast` number, since 6 + 28 + 5 + 579 + 0 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (6285579037) and next prime (6285579059).

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

It is a junction number, because it is equal to n+sod(n) for n = 6285578985 and 6285579003.

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, 2492028 + ... + 2494548.

It is an arithmetic number, because the mean of its divisors is an integer number (83415150).

Almost surely, 2^6285579048 is an apocalyptic number.

6285579048 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 6285579048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10677139200).

6285579048 is an abundant number, since it is smaller than the sum of its proper divisors (15068699352).

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

6285579048 is a wasteful number, since it uses less digits than its factorization.

6285579048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 6285579048 is about 79281.6438275595. The cubic root of 6285579048 is about 1845.5044532441.

The spelling of 6285579048 in words is "six billion, two hundred eighty-five million, five hundred seventy-nine thousand, forty-eight".