6870739873536 has 360 divisors, whose sum is σ = 25542617595264. Its totient is φ = 1784607344640.

The previous prime is 6870739873523. The next prime is 6870739873537. The reversal of 6870739873536 is 6353789370786.

6870739873536 is a `hidden beast` number, since 6 + 8 + 7 + 0 + 7 + 3 + 9 + 87 + 3 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6870739873537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 554910 + ... + 3748253.

Almost surely, 2^{6870739873536} is an apocalyptic number.

6870739873536 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 6870739873536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12771308797632).

6870739873536 is an abundant number, since it is smaller than the sum of its proper divisors (18671877721728).

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

6870739873536 is a wasteful number, since it uses less digits than its factorization.

6870739873536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303209 (or 4303186 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 72.

The spelling of 6870739873536 in words is "six trillion, eight hundred seventy billion, seven hundred thirty-nine million, eight hundred seventy-three thousand, five hundred thirty-six".