7197747648 has 448 divisors, whose sum is σ = 24622768128. Its totient is φ = 1804861440.

The previous prime is 7197747629. The next prime is 7197747701. The reversal of 7197747648 is 8467477917.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 7197747591 and 7197747600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52538236 + ... + 52538372.

It is an arithmetic number, because the mean of its divisors is an integer number (54961536).

Almost surely, 2^7197747648 is an apocalyptic number.

7197747648 is a gapful number since it is divisible by the number (78) 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 7197747648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12311384064).

7197747648 is an abundant number, since it is smaller than the sum of its proper divisors (17425020480).

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

7197747648 is a wasteful number, since it uses less digits than its factorization.

7197747648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its digits is 16595712, while the sum is 60.

The square root of 7197747648 is about 84839.5405928156. The cubic root of 7197747648 is about 1930.7773943274. Note that the first 3 decimals are identical.

The spelling of 7197747648 in words is "seven billion, one hundred ninety-seven million, seven hundred forty-seven thousand, six hundred forty-eight".