7971838560 has 576 divisors, whose sum is σ = 34158039552. Its totient is φ = 1713954816.

The previous prime is 7971838529. The next prime is 7971838561. The reversal of 7971838560 is 658381797.

7971838560 is a `hidden beast` number, since 7 + 9 + 71 + 8 + 3 + 8 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7971838497 and 7971838506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7971838561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4625859 + ... + 4627581.

It is an arithmetic number, because the mean of its divisors is an integer number (59302152).

Almost surely, 2^7971838560 is an apocalyptic number.

7971838560 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 7971838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17079019776).

7971838560 is an abundant number, since it is smaller than the sum of its proper divisors (26186200992).

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

7971838560 is a wasteful number, since it uses less digits than its factorization.

7971838560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 7971838560 is about 89285.1530770934. The cubic root of 7971838560 is about 1997.6504542315.

The spelling of 7971838560 in words is "seven billion, nine hundred seventy-one million, eight hundred thirty-eight thousand, five hundred sixty".