6375540600 has 1152 divisors, whose sum is σ = 28078202880. Its totient is φ = 1271808000.

The previous prime is 6375540581. The next prime is 6375540643. The reversal of 6375540600 is 60455736.

6375540600 is a `hidden beast` number, since 6 + 3 + 7 + 5 + 5 + 40 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 135649777 + ... + 135649823.

It is an arithmetic number, because the mean of its divisors is an integer number (24373440).

Almost surely, 2^6375540600 is an apocalyptic number.

6375540600 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 6375540600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14039101440).

6375540600 is an abundant number, since it is smaller than the sum of its proper divisors (21702662280).

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

6375540600 is a wasteful number, since it uses less digits than its factorization.

6375540600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 6375540600 is about 79846.9824101074. The cubic root of 6375540600 is about 1854.2672956257.

The spelling of 6375540600 in words is "six billion, three hundred seventy-five million, five hundred forty thousand, six hundred".