7200755570400 has 288 divisors, whose sum is σ = 26791663223808. Its totient is φ = 1645588838400.

The previous prime is 7200755570389. The next prime is 7200755570447. The reversal of 7200755570400 is 40755570027.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100444969 + ... + 100516631.

It is an arithmetic number, because the mean of its divisors is an integer number (93026608416).

Almost surely, 2^{7200755570400} is an apocalyptic number.

7200755570400 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 7200755570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13395831611904).

7200755570400 is an abundant number, since it is smaller than the sum of its proper divisors (19590907653408).

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

7200755570400 is a wasteful number, since it uses less digits than its factorization.

7200755570400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77674 (or 77661 counting only the distinct ones).

The product of its (nonzero) digits is 343000, while the sum is 42.

The spelling of 7200755570400 in words is "seven trillion, two hundred billion, seven hundred fifty-five million, five hundred seventy thousand, four hundred".