6426488160 has 240 divisors, whose sum is σ = 23463594000. Its totient is φ = 1654539264.

The previous prime is 6426488119. The next prime is 6426488179. The reversal of 6426488160 is 618846246.

6426488160 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 488 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 367291 + ... + 384389.

It is an arithmetic number, because the mean of its divisors is an integer number (97764975).

Almost surely, 2^6426488160 is an apocalyptic number.

6426488160 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 6426488160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11731797000).

6426488160 is an abundant number, since it is smaller than the sum of its proper divisors (17037105840).

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

6426488160 is a wasteful number, since it uses less digits than its factorization.

6426488160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17155 (or 17138 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6426488160 is about 80165.3800589756. The cubic root of 6426488160 is about 1859.1934067732.

The spelling of 6426488160 in words is "six billion, four hundred twenty-six million, four hundred eighty-eight thousand, one hundred sixty".