806613264480 has 192 divisors, whose sum is σ = 2560692669696. Its totient is φ = 213421824000.

The previous prime is 806613264467. The next prime is 806613264481. The reversal of 806613264480 is 84462316608.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806613264481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33511650 + ... + 33535710.

It is an arithmetic number, because the mean of its divisors is an integer number (13336940988).

Almost surely, 2^806613264480 is an apocalyptic number.

806613264480 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 806613264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280346334848).

806613264480 is an abundant number, since it is smaller than the sum of its proper divisors (1754079405216).

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

806613264480 is a wasteful number, since it uses less digits than its factorization.

806613264480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24621 (or 24613 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 806613264480 in words is "eight hundred six billion, six hundred thirteen million, two hundred sixty-four thousand, four hundred eighty".