802420605360 has 960 divisors, whose sum is σ = 3370001448960. Its totient is φ = 173415997440.

The previous prime is 802420605359. The next prime is 802420605391. The reversal of 802420605360 is 63506024208.

802420605360 is a `hidden beast` number, since 8 + 0 + 2 + 42 + 0 + 605 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 145812369 + ... + 145817871.

It is an arithmetic number, because the mean of its divisors is an integer number (3510418176).

Almost surely, 2^802420605360 is an apocalyptic number.

802420605360 is a gapful number since it is divisible by the number (80) 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 802420605360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685000724480).

802420605360 is an abundant number, since it is smaller than the sum of its proper divisors (2567580843600).

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

802420605360 is a wasteful number, since it uses less digits than its factorization.

802420605360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 802420605360 its reverse (63506024208), we get a palindrome (865926629568).

The spelling of 802420605360 in words is "eight hundred two billion, four hundred twenty million, six hundred five thousand, three hundred sixty".