6379237638144 has 1280 divisors, whose sum is σ = 24299245555200. Its totient is φ = 1623610884096.

The previous prime is 6379237638131. The next prime is 6379237638199. The reversal of 6379237638144 is 4418367329736.

It is a happy number.

6379237638144 is a `hidden beast` number, since 6 + 3 + 7 + 92 + 376 + 38 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6001163757 + ... + 6001164819.

It is an arithmetic number, because the mean of its divisors is an integer number (18983785590).

Almost surely, 2^{6379237638144} is an apocalyptic number.

6379237638144 is a gapful number since it is divisible by the number (64) 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 6379237638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12149622777600).

6379237638144 is an abundant number, since it is smaller than the sum of its proper divisors (17920007917056).

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

6379237638144 is a wasteful number, since it uses less digits than its factorization.

6379237638144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1111 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 63.

The spelling of 6379237638144 in words is "six trillion, three hundred seventy-nine billion, two hundred thirty-seven million, six hundred thirty-eight thousand, one hundred forty-four".