7275991449600 has 1440 divisors, whose sum is σ = 29072350361600. Its totient is φ = 1777257676800.

The previous prime is 7275991449509. The next prime is 7275991449667. The reversal of 7275991449600 is 69441995727.

7275991449600 is a `hidden beast` number, since 7 + 2 + 7 + 5 + 9 + 9 + 14 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6513868242 + ... + 6513869358.

Almost surely, 2^{7275991449600} 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 7275991449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14536175180800).

7275991449600 is an abundant number, since it is smaller than the sum of its proper divisors (21796358912000).

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

7275991449600 is a wasteful number, since it uses less digits than its factorization.

7275991449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 7275991449600 in words is "seven trillion, two hundred seventy-five billion, nine hundred ninety-one million, four hundred forty-nine thousand, six hundred".