7200904145616 has 360 divisors, whose sum is σ = 21262660029000. Its totient is φ = 2271986196480.

The previous prime is 7200904145609. The next prime is 7200904145629. The reversal of 7200904145616 is 6165414090027.

7200904145616 is a `hidden beast` number, since 7 + 20 + 0 + 9 + 0 + 4 + 1 + 4 + 5 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 247118400 + 7200657027216 = 15720^2 + 2683404^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6378125340 + ... + 6378126468.

It is an arithmetic number, because the mean of its divisors is an integer number (59062944525).

Almost surely, 2^{7200904145616} 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 7200904145616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10631330014500).

7200904145616 is an abundant number, since it is smaller than the sum of its proper divisors (14061755883384).

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

7200904145616 is a wasteful number, since it uses less digits than its factorization.

7200904145616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 7200904145616 in words is "seven trillion, two hundred billion, nine hundred four million, one hundred forty-five thousand, six hundred sixteen".