7200414756864 has 1560 divisors, whose sum is σ = 26456755957632. Its totient is φ = 1952793722880.

The previous prime is 7200414756793. The next prime is 7200414756869. The reversal of 7200414756864 is 4686574140027.

7200414756864 is a `hidden beast` number, since 7 + 2 + 0 + 0 + 4 + 14 + 7 + 568 + 64 = 666.

It is a super-2 number, since 2×7200414756864² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7200414756864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7200414756869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 54964998079 + ... + 54964998209.

Almost surely, 2^{7200414756864} 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 7200414756864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13228377978816).

7200414756864 is an abundant number, since it is smaller than the sum of its proper divisors (19256341200768).

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

7200414756864 is an frugal number, since it uses more digits than its factorization.

7200414756864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 7200414756864 in words is "seven trillion, two hundred billion, four hundred fourteen million, seven hundred fifty-six thousand, eight hundred sixty-four".