7722160958400 has 1344 divisors, whose sum is σ = 30942476697600. Its totient is φ = 1683279360000.

The previous prime is 7722160958363. The next prime is 7722160958401. The reversal of 7722160958400 is 48590612277.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7722160958401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3623725335 + ... + 3623727465.

Almost surely, 2^{7722160958400} is an apocalyptic number.

7722160958400 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 7722160958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15471238348800).

7722160958400 is an abundant number, since it is smaller than the sum of its proper divisors (23220315739200).

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

7722160958400 is a wasteful number, since it uses less digits than its factorization.

7722160958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 7722160958400 in words is "seven trillion, seven hundred twenty-two billion, one hundred sixty million, nine hundred fifty-eight thousand, four hundred".