7287475435200 has 1344 divisors, whose sum is σ = 28886115456000. Its totient is φ = 1780363100160.

The previous prime is 7287475435171. The next prime is 7287475435237. The reversal of 7287475435200 is 25345747827.

It is a happy number.

7287475435200 is a `hidden beast` number, since 7 + 2 + 8 + 7 + 4 + 75 + 43 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4722925629 + ... + 4722927171.

Almost surely, 2^{7287475435200} 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 7287475435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443057728000).

7287475435200 is an abundant number, since it is smaller than the sum of its proper divisors (21598640020800).

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

7287475435200 is a wasteful number, since it uses less digits than its factorization.

7287475435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 54.

The spelling of 7287475435200 in words is "seven trillion, two hundred eighty-seven billion, four hundred seventy-five million, four hundred thirty-five thousand, two hundred".