7922774249600 has 384 divisors, whose sum is σ = 24025508400000. Its totient is φ = 2573405614080.

The previous prime is 7922774249591. The next prime is 7922774249647. The reversal of 7922774249600 is 69424772297.

It is a self number, because there is not a number n which added to its sum of digits gives 7922774249600.

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, 20664446 + ... + 21044354.

It is an arithmetic number, because the mean of its divisors is an integer number (62566428125).

Almost surely, 2^{7922774249600} is an apocalyptic number.

7922774249600 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 7922774249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12012754200000).

7922774249600 is an abundant number, since it is smaller than the sum of its proper divisors (16102734150400).

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

7922774249600 is a wasteful number, since it uses less digits than its factorization.

7922774249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379973 (or 379942 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 59.

The spelling of 7922774249600 in words is "seven trillion, nine hundred twenty-two billion, seven hundred seventy-four million, two hundred forty-nine thousand, six hundred".