801495886464 has 640 divisors, whose sum is σ = 2959236403200. Its totient is φ = 209687740416.

The previous prime is 801495886421. The next prime is 801495886493. The reversal of 801495886464 is 464688594108.

801495886464 is a `hidden beast` number, since 8 + 0 + 1 + 4 + 9 + 588 + 6 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 119819632 + ... + 119826320.

It is an arithmetic number, because the mean of its divisors is an integer number (4623806880).

Almost surely, 2^801495886464 is an apocalyptic number.

801495886464 is a gapful number since it is divisible by the number (84) 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 801495886464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479618201600).

801495886464 is an abundant number, since it is smaller than the sum of its proper divisors (2157740516736).

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

801495886464 is a wasteful number, since it uses less digits than its factorization.

801495886464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6862 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 801495886464 in words is "eight hundred one billion, four hundred ninety-five million, eight hundred eighty-six thousand, four hundred sixty-four".