807972681216 has 160 divisors (see below), whose sum is σ = 2191334745600. Its totient is φ = 264473763840.

The previous prime is 807972681137. The next prime is 807972681223. The reversal of 807972681216 is 612186279708.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 94154046 + ... + 94162626.

It is an arithmetic number, because the mean of its divisors is an integer number (13695842160).

Almost surely, 2^807972681216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807972681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095667372800).

807972681216 is an abundant number, since it is smaller than the sum of its proper divisors (1383362064384).

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

807972681216 is a wasteful number, since it uses less digits than its factorization.

807972681216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9700 (or 9684 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 807972681216 in words is "eight hundred seven billion, nine hundred seventy-two million, six hundred eighty-one thousand, two hundred sixteen".