5802636752640 has 1152 divisors, whose sum is σ = 25629130598400. Its totient is φ = 1210478100480.

The previous prime is 5802636752597. The next prime is 5802636752663. The reversal of 5802636752640 is 462576362085.

5802636752640 is a `hidden beast` number, since 5 + 80 + 2 + 6 + 36 + 7 + 526 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 279891075 + ... + 279911805.

It is an arithmetic number, because the mean of its divisors is an integer number (22247509200).

Almost surely, 2^{5802636752640} 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 5802636752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12814565299200).

5802636752640 is an abundant number, since it is smaller than the sum of its proper divisors (19826493845760).

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

5802636752640 is a wasteful number, since it uses less digits than its factorization.

5802636752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20870 (or 20850 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 5802636752640 in words is "five trillion, eight hundred two billion, six hundred thirty-six million, seven hundred fifty-two thousand, six hundred forty".