7365872800 has 432 divisors, whose sum is σ = 22154894496. Its totient is φ = 2356992000.

The previous prime is 7365872783. The next prime is 7365872803. The reversal of 7365872800 is 82785637.

It is not an unprimeable number, because it can be changed into a prime (7365872803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109938367 + ... + 109938433.

It is an arithmetic number, because the mean of its divisors is an integer number (51284478).

Almost surely, 2^7365872800 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 7365872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11077447248).

7365872800 is an abundant number, since it is smaller than the sum of its proper divisors (14789021696).

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

7365872800 is a wasteful number, since it uses less digits than its factorization.

7365872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The square root of 7365872800 is about 85824.6631219721. The cubic root of 7365872800 is about 1945.6948898573.

The spelling of 7365872800 in words is "seven billion, three hundred sixty-five million, eight hundred seventy-two thousand, eight hundred".