6265036800 has 672 divisors, whose sum is σ = 25353020160. Its totient is φ = 1504051200.

The previous prime is 6265036783. The next prime is 6265036829. The reversal of 6265036800 is 86305626.

It is a super-2 number, since 2×6265036800² = 78501372210708480000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 60825549 + ... + 60825651.

Almost surely, 2^6265036800 is an apocalyptic number.

6265036800 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 6265036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12676510080).

6265036800 is an abundant number, since it is smaller than the sum of its proper divisors (19087983360).

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

6265036800 is a wasteful number, since it uses less digits than its factorization.

6265036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6265036800 is about 79151.9854457233. The cubic root of 6265036800 is about 1843.4917940819.

The spelling of 6265036800 in words is "six billion, two hundred sixty-five million, thirty-six thousand, eight hundred".