6276264960 has 528 divisors, whose sum is σ = 24194557440. Its totient is φ = 1383137280.

The previous prime is 6276264881. The next prime is 6276264983. The reversal of 6276264960 is 694626726.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23331706 + ... + 23331974.

Almost surely, 2^6276264960 is an apocalyptic number.

6276264960 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 6276264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12097278720).

6276264960 is an abundant number, since it is smaller than the sum of its proper divisors (17918292480).

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

6276264960 is a wasteful number, since it uses less digits than its factorization.

6276264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 6276264960 is about 79222.8815431501. The cubic root of 6276264960 is about 1844.5924350000.

The spelling of 6276264960 in words is "six billion, two hundred seventy-six million, two hundred sixty-four thousand, nine hundred sixty".