802219904640 has 1536 divisors, whose sum is σ = 3698875514880. Its totient is φ = 161243136000.

The previous prime is 802219904621. The next prime is 802219904653. The reversal of 802219904640 is 46409912208.

802219904640 is a `hidden beast` number, since 80 + 2 + 21 + 9 + 90 + 464 + 0 = 666.

It is a super-2 number, since 2×802219904640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 371225160 + ... + 371227320.

It is an arithmetic number, because the mean of its divisors is an integer number (2408122080).

Almost surely, 2^802219904640 is an apocalyptic number.

802219904640 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 802219904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849437757440).

802219904640 is an abundant number, since it is smaller than the sum of its proper divisors (2896655610240).

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

802219904640 is a wasteful number, since it uses less digits than its factorization.

802219904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 802219904640 in words is "eight hundred two billion, two hundred nineteen million, nine hundred four thousand, six hundred forty".