6300400827 has 32 divisors (see below), whose sum is σ = 9646873600. Its totient is φ = 3582931968.

The previous prime is 6300400823. The next prime is 6300400849. The reversal of 6300400827 is 7280040036.

6300400827 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6300400827 - 2² = 6300400823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6300400794 and 6300400803.

It is not an unprimeable number, because it can be changed into a prime (6300400823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6243699 + ... + 6244707.

It is an arithmetic number, because the mean of its divisors is an integer number (301464800).

Almost surely, 2^6300400827 is an apocalyptic number.

6300400827 is a deficient number, since it is larger than the sum of its proper divisors (3346472773).

6300400827 is a wasteful number, since it uses less digits than its factorization.

6300400827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 6300400827 is about 79375.0642645409. The cubic root of 6300400827 is about 1846.9539185748.

The spelling of 6300400827 in words is "six billion, three hundred million, four hundred thousand, eight hundred twenty-seven".