6427476000 has 288 divisors, whose sum is σ = 24886382976. Its totient is φ = 1558080000.

The previous prime is 6427475981. The next prime is 6427476019. The reversal of 6427476000 is 6747246.

6427476000 is a `hidden beast` number, since 6 + 4 + 2 + 7 + 47 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6427475981) and next prime (6427476019).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387885 + ... + 404115.

It is an arithmetic number, because the mean of its divisors is an integer number (86411052).

Almost surely, 2^6427476000 is an apocalyptic number.

6427476000 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 6427476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12443191488).

6427476000 is an abundant number, since it is smaller than the sum of its proper divisors (18458906976).

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

6427476000 is a wasteful number, since it uses less digits than its factorization.

6427476000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16273 (or 16252 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 6427476000 is about 80171.5410853502. The cubic root of 6427476000 is about 1859.2886631286.

The spelling of 6427476000 in words is "six billion, four hundred twenty-seven million, four hundred seventy-six thousand".