6538752000 has 832 divisors, whose sum is σ = 26987051520. Its totient is φ = 1548288000.

The previous prime is 6538751993. The next prime is 6538752047. The reversal of 6538752000 is 2578356.

6538752000 is a `hidden beast` number, since 6 + 53 + 87 + 520 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152063979 + ... + 152064021.

It is an arithmetic number, because the mean of its divisors is an integer number (32436360).

Almost surely, 2^6538752000 is an apocalyptic number.

6538752000 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 6538752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13493525760).

6538752000 is an abundant number, since it is smaller than the sum of its proper divisors (20448299520).

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

6538752000 is a wasteful number, since it uses less digits than its factorization.

6538752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 6538752000 is about 80862.5500463595. The cubic root of 6538752000 is about 1869.9570085534.

The spelling of 6538752000 in words is "six billion, five hundred thirty-eight million, seven hundred fifty-two thousand".