6427131048 has 192 divisors, whose sum is σ = 19435852800. Its totient is φ = 1905361920.

The previous prime is 6427131041. The next prime is 6427131049. The reversal of 6427131048 is 8401317246.

6427131048 is a `hidden beast` number, since 642 + 7 + 1 + 3 + 1 + 0 + 4 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6427131041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10416436 + ... + 10417052.

It is an arithmetic number, because the mean of its divisors is an integer number (101228400).

Almost surely, 2^6427131048 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 6427131048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9717926400).

6427131048 is an abundant number, since it is smaller than the sum of its proper divisors (13008721752).

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

6427131048 is a wasteful number, since it uses less digits than its factorization.

6427131048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6427131048 is about 80169.3897195183. The cubic root of 6427131048 is about 1859.2554008850.

The spelling of 6427131048 in words is "six billion, four hundred twenty-seven million, one hundred thirty-one thousand, forty-eight".