805872014640 has 3840 divisors, whose sum is σ = 4064654131200. Its totient is φ = 137952460800.

The previous prime is 805872014581. The next prime is 805872014653. The reversal of 805872014640 is 46410278508.

805872014640 is a `hidden beast` number, since 8 + 0 + 587 + 2 + 0 + 1 + 4 + 64 + 0 = 666.

805872014640 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 767 ways as a sum of consecutive naturals, for example, 21780324702 + ... + 21780324738.

It is an arithmetic number, because the mean of its divisors is an integer number (1058503680).

Almost surely, 2^805872014640 is an apocalyptic number.

805872014640 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 805872014640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032327065600).

805872014640 is an abundant number, since it is smaller than the sum of its proper divisors (3258782116560).

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

805872014640 is a wasteful number, since it uses less digits than its factorization.

805872014640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 805872014640 in words is "eight hundred five billion, eight hundred seventy-two million, fourteen thousand, six hundred forty".