6631427392380 has 768 divisors, whose sum is σ = 24131143680000. Its totient is φ = 1499258833920.

The previous prime is 6631427392363. The next prime is 6631427392391. The reversal of 6631427392380 is 832937241366.

6631427392380 is a `hidden beast` number, since 66 + 31 + 427 + 39 + 23 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19001224446 + ... + 19001224794.

It is an arithmetic number, because the mean of its divisors is an integer number (31420760000).

Almost surely, 2^{6631427392380} is an apocalyptic number.

6631427392380 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 6631427392380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065571840000).

6631427392380 is an abundant number, since it is smaller than the sum of its proper divisors (17499716287620).

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

6631427392380 is a wasteful number, since it uses less digits than its factorization.

6631427392380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 6631427392380 in words is "six trillion, six hundred thirty-one billion, four hundred twenty-seven million, three hundred ninety-two thousand, three hundred eighty".