6377472000 has 384 divisors, whose sum is σ = 23125466520. Its totient is φ = 1690828800.

The previous prime is 6377471963. The next prime is 6377472001. The reversal of 6377472000 is 2747736.

It can be written as a sum of positive squares in 4 ways, for example, as 3362144256 + 3015327744 = 57984^2 + 54912^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6377472000² = 81344298221568000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6377472001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36863914 + ... + 36864086.

Almost surely, 2^6377472000 is an apocalyptic number.

6377472000 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 6377472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11562733260).

6377472000 is an abundant number, since it is smaller than the sum of its proper divisors (16747994520).

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

6377472000 is an equidigital number, since it uses as much as digits as its factorization.

6377472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 6377472000 is about 79859.0758774480. The cubic root of 6377472000 is about 1854.4545200248.

The spelling of 6377472000 in words is "six billion, three hundred seventy-seven million, four hundred seventy-two thousand".