6377613648 has 160 divisors (see below), whose sum is σ = 20624751360. Its totient is φ = 1655808000.

The previous prime is 6377613559. The next prime is 6377613659. The reversal of 6377613648 is 8463167736.

It is a Harshad number since it is a multiple of its sum of digits (51).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6377613648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146398 + ... + 184898.

It is an arithmetic number, because the mean of its divisors is an integer number (128904696).

Almost surely, 2^6377613648 is an apocalyptic number.

6377613648 is a gapful number since it is divisible by the number (68) 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 6377613648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10312375680).

6377613648 is an abundant number, since it is smaller than the sum of its proper divisors (14247137712).

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

6377613648 is a wasteful number, since it uses less digits than its factorization.

6377613648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38565 (or 38559 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 51.

The square root of 6377613648 is about 79859.9627347772. The cubic root of 6377613648 is about 1854.4682494895.

The spelling of 6377613648 in words is "six billion, three hundred seventy-seven million, six hundred thirteen thousand, six hundred forty-eight".