803403802865664 has 6656 divisors, whose sum is σ = 3579375302737920. Its totient is φ = 171126344908800.

The previous prime is 803403802865663. The next prime is 803403802865723. The reversal of 803403802865664 is 466568208304308.

It is a happy number.

803403802865664 is a `hidden beast` number, since 8 + 0 + 3 + 40 + 3 + 8 + 0 + 28 + 6 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (6656).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803403802865663) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2741992501102 + ... + 2741992501394.

Almost surely, 2^{803403802865664} is an apocalyptic number.

803403802865664 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 803403802865664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789687651368960).

803403802865664 is an abundant number, since it is smaller than the sum of its proper divisors (2775971499872256).

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

803403802865664 is a wasteful number, since it uses less digits than its factorization.

803403802865664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 803403802865664 in words is "eight hundred three trillion, four hundred three billion, eight hundred two million, eight hundred sixty-five thousand, six hundred sixty-four".