802173363264 has 672 divisors, whose sum is σ = 2882141982720. Its totient is φ = 207683481600.

The previous prime is 802173363263. The next prime is 802173363269. The reversal of 802173363264 is 462363371208.

802173363264 is a `hidden beast` number, since 8 + 0 + 2 + 1 + 7 + 3 + 3 + 632 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (802173363263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1633754059 + ... + 1633754549.

It is an arithmetic number, because the mean of its divisors is an integer number (4288901760).

Almost surely, 2^802173363264 is an apocalyptic number.

802173363264 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 802173363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441070991360).

802173363264 is an abundant number, since it is smaller than the sum of its proper divisors (2079968619456).

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

802173363264 is a wasteful number, since it uses less digits than its factorization.

802173363264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 802173363264 in words is "eight hundred two billion, one hundred seventy-three million, three hundred sixty-three thousand, two hundred sixty-four".