806471582416400 has 120 divisors (see below), whose sum is σ = 1944013724637600. Its totient is φ = 321512296826880.

The previous prime is 806471582416397. The next prime is 806471582416411. The reversal of 806471582416400 is 4614285174608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1583742632 + ... + 1584251768.

It is an arithmetic number, because the mean of its divisors is an integer number (16200114371980).

Almost surely, 2^{806471582416400} is an apocalyptic number.

806471582416400 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 806471582416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972006862318800).

806471582416400 is an abundant number, since it is smaller than the sum of its proper divisors (1137542142221200).

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

806471582416400 is a wasteful number, since it uses less digits than its factorization.

806471582416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522361 (or 522350 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 56.

The spelling of 806471582416400 in words is "eight hundred six trillion, four hundred seventy-one billion, five hundred eighty-two million, four hundred sixteen thousand, four hundred".