6268897152 has 320 divisors, whose sum is σ = 22579935840. Its totient is φ = 1685422080.

The previous prime is 6268897139. The next prime is 6268897163. The reversal of 6268897152 is 2517988626.

6268897152 is a `hidden beast` number, since 626 + 8 + 8 + 9 + 7 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×6268897152² = 78598143004707422208, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1231252 + ... + 1236332.

Almost surely, 2^6268897152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6268897152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11289967920).

6268897152 is an abundant number, since it is smaller than the sum of its proper divisors (16311038688).

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

6268897152 is a wasteful number, since it uses less digits than its factorization.

6268897152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131 (or 5110 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 6268897152 is about 79176.3673832034. The cubic root of 6268897152 is about 1843.8703535003.

The spelling of 6268897152 in words is "six billion, two hundred sixty-eight million, eight hundred ninety-seven thousand, one hundred fifty-two".