7971685287720 has 512 divisors, whose sum is σ = 30056914944000. Its totient is φ = 1643126031360.

The previous prime is 7971685287701. The next prime is 7971685287821. The reversal of 7971685287720 is 277825861797.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 693003489 + ... + 693014991.

It is an arithmetic number, because the mean of its divisors is an integer number (58704912000).

Almost surely, 2^{7971685287720} is an apocalyptic number.

7971685287720 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 7971685287720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15028457472000).

7971685287720 is an abundant number, since it is smaller than the sum of its proper divisors (22085229656280).

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

7971685287720 is a wasteful number, since it uses less digits than its factorization.

7971685287720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12133 (or 12129 counting only the distinct ones).

The product of its (nonzero) digits is 165957120, while the sum is 69.

The spelling of 7971685287720 in words is "seven trillion, nine hundred seventy-one billion, six hundred eighty-five million, two hundred eighty-seven thousand, seven hundred twenty".