7287436800 has 540 divisors, whose sum is σ = 30361138236. Its totient is φ = 1664409600.

The previous prime is 7287436799. The next prime is 7287436823. The reversal of 7287436800 is 86347827.

It is a happy number.

7287436800 is a `hidden beast` number, since 7 + 287 + 4 + 368 + 0 + 0 = 666.

It is a super-2 number, since 2×7287436800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5644155 + ... + 5645445.

Almost surely, 2^7287436800 is an apocalyptic number.

7287436800 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 7287436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15180569118).

7287436800 is an abundant number, since it is smaller than the sum of its proper divisors (23073701436).

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

7287436800 is a wasteful number, since it uses less digits than its factorization.

7287436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 7287436800 is about 85366.4852269320. The cubic root of 7287436800 is about 1938.7639414262.

The spelling of 7287436800 in words is "seven billion, two hundred eighty-seven million, four hundred thirty-six thousand, eight hundred".