802016747288064 has 3200 divisors, whose sum is σ = 3136298482335744. Its totient is φ = 198066290688000.

The previous prime is 802016747288063. The next prime is 802016747288101. The reversal of 802016747288064 is 460882747610208.

802016747288064 is a `hidden beast` number, since 8 + 0 + 20 + 1 + 6 + 7 + 472 + 8 + 80 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 802016747287992 and 802016747288010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802016747288063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 777901791229 + ... + 777901792259.

Almost surely, 2^{802016747288064} is an apocalyptic number.

802016747288064 is a gapful number since it is divisible by the number (84) 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 802016747288064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568149241167872).

802016747288064 is an abundant number, since it is smaller than the sum of its proper divisors (2334281735047680).

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

802016747288064 is a wasteful number, since it uses less digits than its factorization.

802016747288064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 802016747288064 in words is "eight hundred two trillion, sixteen billion, seven hundred forty-seven million, two hundred eighty-eight thousand, sixty-four".