7328116800 has 252 divisors, whose sum is σ = 26200577520. Its totient is φ = 1942563840.

The previous prime is 7328116793. The next prime is 7328116853. The reversal of 7328116800 is 86118237.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2576179 + ... + 2579021.

Almost surely, 2^7328116800 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 7328116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13100288760).

7328116800 is an abundant number, since it is smaller than the sum of its proper divisors (18872460720).

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

7328116800 is a wasteful number, since it uses less digits than its factorization.

7328116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7328116800 is about 85604.4204466101. The cubic root of 7328116800 is about 1942.3647784307.

The spelling of 7328116800 in words is "seven billion, three hundred twenty-eight million, one hundred sixteen thousand, eight hundred".