806466541320 has 512 divisors, whose sum is σ = 3131633664000. Its totient is φ = 182673792000.

The previous prime is 806466541313. The next prime is 806466541343. The reversal of 806466541320 is 23145664608.

806466541320 is a `hidden beast` number, since 8 + 0 + 6 + 466 + 54 + 132 + 0 = 666.

806466541320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 10642365 + ... + 10717875.

It is an arithmetic number, because the mean of its divisors is an integer number (6116472000).

Almost surely, 2^806466541320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806466541320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565816832000).

806466541320 is an abundant number, since it is smaller than the sum of its proper divisors (2325167122680).

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

806466541320 is a wasteful number, since it uses less digits than its factorization.

806466541320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75602 (or 75592 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 806466541320 in words is "eight hundred six billion, four hundred sixty-six million, five hundred forty-one thousand, three hundred twenty".