6872597273520 has 400 divisors, whose sum is σ = 26937429599520. Its totient is φ = 1608632524800.

The previous prime is 6872597273483. The next prime is 6872597273543. The reversal of 6872597273520 is 253727952786.

6872597273520 is a `hidden beast` number, since 6 + 8 + 7 + 2 + 597 + 2 + 7 + 35 + 2 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 404760 + ... + 3729480.

Almost surely, 2^{6872597273520} is an apocalyptic number.

6872597273520 is a gapful number since it is divisible by the number (60) 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 6872597273520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13468714799760).

6872597273520 is an abundant number, since it is smaller than the sum of its proper divisors (20064832326000).

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

6872597273520 is a wasteful number, since it uses less digits than its factorization.

6872597273520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324786 (or 3324771 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 6872597273520 in words is "six trillion, eight hundred seventy-two billion, five hundred ninety-seven million, two hundred seventy-three thousand, five hundred twenty".