6152820800 has 168 divisors, whose sum is σ = 17725948800. Its totient is φ = 2057932800.

The previous prime is 6152820797. The next prime is 6152820811. The reversal of 6152820800 is 80282516.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452501 + ... + 465899.

It is an arithmetic number, because the mean of its divisors is an integer number (105511600).

Almost surely, 2^6152820800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6152820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8862974400).

6152820800 is an abundant number, since it is smaller than the sum of its proper divisors (11573128000).

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

6152820800 is a wasteful number, since it uses less digits than its factorization.

6152820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13469 (or 13454 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 6152820800 is about 78439.9184089326. The cubic root of 6152820800 is about 1832.4188702979.

It can be divided in two parts, 61528 and 20800, that added together give a palindrome (82328).

The spelling of 6152820800 in words is "six billion, one hundred fifty-two million, eight hundred twenty thousand, eight hundred".