806479352640 has 1344 divisors, whose sum is σ = 3343061030400. Its totient is φ = 176423436288.

The previous prime is 806479352629. The next prime is 806479352771. The reversal of 806479352640 is 46253974608.

806479352640 is a `hidden beast` number, since 8 + 0 + 6 + 4 + 79 + 3 + 526 + 40 = 666.

806479352640 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 congruent number.

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, 1302874251 + ... + 1302874869.

It is an arithmetic number, because the mean of its divisors is an integer number (2487396600).

Almost surely, 2^806479352640 is an apocalyptic number.

806479352640 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 806479352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671530515200).

806479352640 is an abundant number, since it is smaller than the sum of its proper divisors (2536581677760).

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

806479352640 is a wasteful number, since it uses less digits than its factorization.

806479352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 806479352640 in words is "eight hundred six billion, four hundred seventy-nine million, three hundred fifty-two thousand, six hundred forty".