6300828240 has 80 divisors (see below), whose sum is σ = 22322940288. Its totient is φ = 1440188928.

The previous prime is 6300828223. The next prime is 6300828257. The reversal of 6300828240 is 428280036.

It is an interprime number because it is at equal distance from previous prime (6300828223) and next prime (6300828257).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1873567 + ... + 1876926.

Almost surely, 2^6300828240 is an apocalyptic number.

6300828240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6300828240 is an abundant number, since it is smaller than the sum of its proper divisors (16022112048).

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

6300828240 is a wasteful number, since it uses less digits than its factorization.

6300828240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750516 (or 3750510 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 6300828240 is about 79377.7565820552. The cubic root of 6300828240 is about 1846.9956828099.

The spelling of 6300828240 in words is "six billion, three hundred million, eight hundred twenty-eight thousand, two hundred forty".