6377080320 has 640 divisors, whose sum is σ = 25078394880. Its totient is φ = 1526169600.

The previous prime is 6377080289. The next prime is 6377080321. The reversal of 6377080320 is 230807736.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6377080321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42232245 + ... + 42232395.

It is an arithmetic number, because the mean of its divisors is an integer number (39184992).

Almost surely, 2^6377080320 is an apocalyptic number.

6377080320 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 6377080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12539197440).

6377080320 is an abundant number, since it is smaller than the sum of its proper divisors (18701314560).

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

6377080320 is a wasteful number, since it uses less digits than its factorization.

6377080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 6377080320 is about 79856.6235199060. The cubic root of 6377080320 is about 1854.4165547403.

The spelling of 6377080320 in words is "six billion, three hundred seventy-seven million, eighty thousand, three hundred twenty".