6377940 has 120 divisors (see below), whose sum is σ = 20815872. Its totient is φ = 1632960.

The previous prime is 6377893. The next prime is 6377951. The reversal of 6377940 is 497736.

6377940 = 20² + 21² + ... + 267².

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 6377895 and 6377904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50157 + ... + 50283.

Almost surely, 2^6377940 is an apocalyptic number.

6377940 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 6377940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10407936).

6377940 is an abundant number, since it is smaller than the sum of its proper divisors (14437932).

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

6377940 is a wasteful number, since it uses less digits than its factorization.

6377940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 6377940 is about 2525.4583742362. The cubic root of 6377940 is about 185.4499880918.

The spelling of 6377940 in words is "six million, three hundred seventy-seven thousand, nine hundred forty".