6377382414144 has 560 divisors, whose sum is σ = 21812337782400. Its totient is φ = 1804713799680.

The previous prime is 6377382414107. The next prime is 6377382414149. The reversal of 6377382414144 is 4414142837736.

6377382414144 is a `hidden beast` number, since 6 + 3 + 7 + 7 + 3 + 82 + 414 + 144 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6377382414149) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2146542579 + ... + 2146545549.

Almost surely, 2^{6377382414144} is an apocalyptic number.

6377382414144 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 6377382414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10906168891200).

6377382414144 is an abundant number, since it is smaller than the sum of its proper divisors (15434955368256).

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

6377382414144 is a wasteful number, since it uses less digits than its factorization.

6377382414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548 (or 3529 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 6377382414144 in words is "six trillion, three hundred seventy-seven billion, three hundred eighty-two million, four hundred fourteen thousand, one hundred forty-four".