6377114436 has 96 divisors (see below), whose sum is σ = 18805936128. Its totient is φ = 1633685760.

The previous prime is 6377114431. The next prime is 6377114437. The reversal of 6377114436 is 6344117736.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (6377114431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20181 + ... + 114723.

It is an arithmetic number, because the mean of its divisors is an integer number (195895168).

Almost surely, 2^6377114436 is an apocalyptic number.

6377114436 is a gapful number since it is divisible by the number (66) 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 6377114436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9402968064).

6377114436 is an abundant number, since it is smaller than the sum of its proper divisors (12428821692).

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

6377114436 is a wasteful number, since it uses less digits than its factorization.

6377114436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94641 (or 94639 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 6377114436 is about 79856.8371274495. The cubic root of 6377114436 is about 1854.4198616436.

The spelling of 6377114436 in words is "six billion, three hundred seventy-seven million, one hundred fourteen thousand, four hundred thirty-six".