7200816480 has 864 divisors, whose sum is σ = 30920224608. Its totient is φ = 1516584960.

The previous prime is 7200816473. The next prime is 7200816481. The reversal of 7200816480 is 846180027.

7200816480 is a `hidden beast` number, since 7 + 2 + 0 + 0 + 8 + 1 + 648 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7200816481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 423577432 + ... + 423577448.

It is an arithmetic number, because the mean of its divisors is an integer number (35787297).

Almost surely, 2^7200816480 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 7200816480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15460112304).

7200816480 is an abundant number, since it is smaller than the sum of its proper divisors (23719408128).

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

7200816480 is a wasteful number, since it uses less digits than its factorization.

7200816480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7200816480 is about 84857.6247605364. The cubic root of 7200816480 is about 1931.0517574498.

It can be divided in two parts, 72008 and 16480, that added together give a palindrome (88488).

The spelling of 7200816480 in words is "seven billion, two hundred million, eight hundred sixteen thousand, four hundred eighty".