6377136480 has 1152 divisors, whose sum is σ = 28108394496. Its totient is φ = 1343692800.

The previous prime is 6377136439. The next prime is 6377136487. The reversal of 6377136480 is 846317736.

6377136480 is a `hidden beast` number, since 6 + 37 + 7 + 136 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6377136487) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 172355022 + ... + 172355058.

It is an arithmetic number, because the mean of its divisors is an integer number (24399648).

Almost surely, 2^6377136480 is an apocalyptic number.

6377136480 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 6377136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14054197248).

6377136480 is an abundant number, since it is smaller than the sum of its proper divisors (21731258016).

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

6377136480 is a wasteful number, since it uses less digits than its factorization.

6377136480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6377136480 is about 79856.9751493256. The cubic root of 6377136480 is about 1854.4219983876.

The spelling of 6377136480 in words is "six billion, three hundred seventy-seven million, one hundred thirty-six thousand, four hundred eighty".