6280899840 has 144 divisors (see below), whose sum is σ = 22288593600. Its totient is φ = 1674897408.

The previous prime is 6280899797. The next prime is 6280899841. The reversal of 6280899840 is 489980826.

6280899840 is a `hidden beast` number, since 628 + 0 + 8 + 9 + 9 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×6280899840³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6280899841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 56310 + ... + 125429.

It is an arithmetic number, because the mean of its divisors is an integer number (154781900).

Almost surely, 2^6280899840 is an apocalyptic number.

6280899840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6280899840 is an abundant number, since it is smaller than the sum of its proper divisors (16007693760).

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

6280899840 is a wasteful number, since it uses less digits than its factorization.

6280899840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181769 (or 181749 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 6280899840 is about 79252.1282994974. The cubic root of 6280899840 is about 1845.0463865659.

The spelling of 6280899840 in words is "six billion, two hundred eighty million, eight hundred ninety-nine thousand, eight hundred forty".