6468142131360 has 1440 divisors, whose sum is σ = 29583837858960. Its totient is φ = 1317599281152.

The previous prime is 6468142131337. The next prime is 6468142131439. The reversal of 6468142131360 is 631312418646.

6468142131360 is a `hidden beast` number, since 6 + 4 + 68 + 14 + 213 + 1 + 360 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3696037010064 + 2772105121296 = 1922508^2 + 1664964^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 239396572 + ... + 239423588.

Almost surely, 2^{6468142131360} is an apocalyptic number.

6468142131360 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 6468142131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14791918929480).

6468142131360 is an abundant number, since it is smaller than the sum of its proper divisors (23115695727600).

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

6468142131360 is a wasteful number, since it uses less digits than its factorization.

6468142131360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27100 (or 27076 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 6468142131360 in words is "six trillion, four hundred sixty-eight billion, one hundred forty-two million, one hundred thirty-one thousand, three hundred sixty".