6375492000 has 288 divisors, whose sum is σ = 22734326160. Its totient is φ = 1692057600.

The previous prime is 6375491977. The next prime is 6375492001. The reversal of 6375492000 is 2945736.

It can be written as a sum of positive squares in 8 ways, for example, as 255872016 + 6119619984 = 15996^2 + 78228^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 (6375492001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14723784 + ... + 14724216.

Almost surely, 2^6375492000 is an apocalyptic number.

6375492000 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 6375492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11367163080).

6375492000 is an abundant number, since it is smaller than the sum of its proper divisors (16358834160).

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

6375492000 is a wasteful number, since it uses less digits than its factorization.

6375492000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 6375492000 is about 79846.6780774254. The cubic root of 6375492000 is about 1854.2625839929.

The spelling of 6375492000 in words is "six billion, three hundred seventy-five million, four hundred ninety-two thousand".