801629340984 has 256 divisors, whose sum is σ = 2346469171200. Its totient is φ = 253085285376.

The previous prime is 801629340949. The next prime is 801629341013. The reversal of 801629340984 is 489043926108.

801629340984 is a `hidden beast` number, since 8 + 0 + 1 + 629 + 3 + 4 + 0 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 801629340984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218247372 + ... + 218251044.

It is an arithmetic number, because the mean of its divisors is an integer number (9165895200).

Almost surely, 2^801629340984 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 801629340984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173234585600).

801629340984 is an abundant number, since it is smaller than the sum of its proper divisors (1544839830216).

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

801629340984 is a wasteful number, since it uses less digits than its factorization.

801629340984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 801629340984 in words is "eight hundred one billion, six hundred twenty-nine million, three hundred forty thousand, nine hundred eighty-four".