6481970685696 has 144 divisors (see below), whose sum is σ = 18858468964608. Its totient is φ = 1960198963200.

The previous prime is 6481970685691. The next prime is 6481970685721. The reversal of 6481970685696 is 6965860791846.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6481970685691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3326416 + ... + 4901936.

It is an arithmetic number, because the mean of its divisors is an integer number (130961590032).

Almost surely, 2^{6481970685696} is an apocalyptic number.

6481970685696 is a gapful number since it is divisible by the number (66) 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 6481970685696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9429234482304).

6481970685696 is an abundant number, since it is smaller than the sum of its proper divisors (12376498278912).

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

6481970685696 is a wasteful number, since it uses less digits than its factorization.

6481970685696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576038 (or 1576024 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 75.

The spelling of 6481970685696 in words is "six trillion, four hundred eighty-one billion, nine hundred seventy million, six hundred eighty-five thousand, six hundred ninety-six".