801806653440 has 768 divisors, whose sum is σ = 3144857788800. Its totient is φ = 192518553600.

The previous prime is 801806653433. The next prime is 801806653469. The reversal of 801806653440 is 44356608108.

801806653440 is a `hidden beast` number, since 8 + 0 + 18 + 0 + 66 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 147361120 + ... + 147366560.

Almost surely, 2^801806653440 is an apocalyptic number.

801806653440 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 801806653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572428894400).

801806653440 is an abundant number, since it is smaller than the sum of its proper divisors (2343051135360).

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

801806653440 is a wasteful number, since it uses less digits than its factorization.

801806653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5531 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 801806653440 in words is "eight hundred one billion, eight hundred six million, six hundred fifty-three thousand, four hundred forty".