7268032800 has 864 divisors, whose sum is σ = 31279248000. Its totient is φ = 1646023680.

The previous prime is 7268032769. The next prime is 7268032843. The reversal of 7268032800 is 82308627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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

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 143 ways as a sum of consecutive naturals, for example, 66679146 + ... + 66679254.

Almost surely, 2^7268032800 is an apocalyptic number.

7268032800 is a gapful number since it is divisible by the number (70) 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 7268032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15639624000).

7268032800 is an abundant number, since it is smaller than the sum of its proper divisors (24011215200).

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

7268032800 is a wasteful number, since it uses less digits than its factorization.

7268032800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7268032800 is about 85252.7583131479. The cubic root of 7268032800 is about 1937.0416525224.

The spelling of 7268032800 in words is "seven billion, two hundred sixty-eight million, thirty-two thousand, eight hundred".