7280481600 has 252 divisors, whose sum is σ = 29573610144. Its totient is φ = 1664087040.

The previous prime is 7280481589. The next prime is 7280481631. The reversal of 7280481600 is 61840827.

7280481600 is a `hidden beast` number, since 7 + 2 + 8 + 0 + 48 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64687 + ... + 136913.

Almost surely, 2^7280481600 is an apocalyptic number.

7280481600 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 7280481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14786805072).

7280481600 is an abundant number, since it is smaller than the sum of its proper divisors (22293128544).

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

7280481600 is a wasteful number, since it uses less digits than its factorization.

7280481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72262 (or 72244 counting only the distinct ones).

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

The square root of 7280481600 is about 85325.7382036628. The cubic root of 7280481600 is about 1938.1469534270.

The spelling of 7280481600 in words is "seven billion, two hundred eighty million, four hundred eighty-one thousand, six hundred".