816470138880 has 1344 divisors, whose sum is σ = 3279126913920. Its totient is φ = 186069811200.

The previous prime is 816470138863. The next prime is 816470138921. The reversal of 816470138880 is 88831074618.

It is a happy number.

816470138880 is a `hidden beast` number, since 8 + 1 + 6 + 470 + 13 + 88 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6232596415 + ... + 6232596545.

Almost surely, 2^816470138880 is an apocalyptic number.

816470138880 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 816470138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639563456960).

816470138880 is an abundant number, since it is smaller than the sum of its proper divisors (2462656775040).

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

816470138880 is a wasteful number, since it uses less digits than its factorization.

816470138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 816470138880 in words is "eight hundred sixteen billion, four hundred seventy million, one hundred thirty-eight thousand, eight hundred eighty".