7869812670720 has 4320 divisors, whose sum is σ = 40147689415680. Its totient is φ = 1425389322240.

The previous prime is 7869812670637. The next prime is 7869812670721. The reversal of 7869812670720 is 270762189687.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (7869812670721) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 25634568807 + ... + 25634569113.

It is an arithmetic number, because the mean of its divisors is an integer number (9293446624).

Almost surely, 2^{7869812670720} is an apocalyptic number.

7869812670720 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 7869812670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20073844707840).

7869812670720 is an abundant number, since it is smaller than the sum of its proper divisors (32277876744960).

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

7869812670720 is a wasteful number, since it uses less digits than its factorization.

7869812670720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 7869812670720 in words is "seven trillion, eight hundred sixty-nine billion, eight hundred twelve million, six hundred seventy thousand, seven hundred twenty".