807055998336 has 768 divisors, whose sum is σ = 2882032358400. Its totient is φ = 211697418240.

The previous prime is 807055998317. The next prime is 807055998341. The reversal of 807055998336 is 633899550708.

807055998336 is a `hidden beast` number, since 8 + 0 + 7 + 0 + 5 + 599 + 8 + 3 + 36 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 1220961846 + ... + 1220962506.

It is an arithmetic number, because the mean of its divisors is an integer number (3752646300).

Almost surely, 2^807055998336 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 807055998336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441016179200).

807055998336 is an abundant number, since it is smaller than the sum of its proper divisors (2074976360064).

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

807055998336 is a wasteful number, since it uses less digits than its factorization.

807055998336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 807055998336 in words is "eight hundred seven billion, fifty-five million, nine hundred ninety-eight thousand, three hundred thirty-six".