6278264460 has 576 divisors, whose sum is σ = 22824861696. Its totient is φ = 1383782400.

The previous prime is 6278264393. The next prime is 6278264467. The reversal of 6278264460 is 644628726.

6278264460 is a `hidden beast` number, since 62 + 78 + 2 + 64 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6278264467) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88426225 + ... + 88426295.

It is an arithmetic number, because the mean of its divisors is an integer number (39626496).

Almost surely, 2^6278264460 is an apocalyptic number.

6278264460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is a pronic number, being equal to 79235×79236.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6278264460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11412430848).

6278264460 is an abundant number, since it is smaller than the sum of its proper divisors (16546597236).

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

6278264460 is a wasteful number, since it uses less digits than its factorization.

6278264460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 6278264460 is about 79235.4999984224. The cubic root of 6278264460 is about 1844.7882983570.

The spelling of 6278264460 in words is "six billion, two hundred seventy-eight million, two hundred sixty-four thousand, four hundred sixty".