6587720036352 has 2080 divisors, whose sum is σ = 25464416700800. Its totient is φ = 1685528248320.

The previous prime is 6587720036351. The next prime is 6587720036393. The reversal of 6587720036352 is 2536300277856.

It is a happy number.

6587720036352 is a `hidden beast` number, since 6 + 5 + 8 + 77 + 200 + 363 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6587720036351) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 90242740188 + ... + 90242740260.

Almost surely, 2^{6587720036352} 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 6587720036352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12732208350400).

6587720036352 is an abundant number, since it is smaller than the sum of its proper divisors (18876696664448).

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

6587720036352 is an equidigital number, since it uses as much as digits as its factorization.

6587720036352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 6587720036352 in words is "six trillion, five hundred eighty-seven billion, seven hundred twenty million, thirty-six thousand, three hundred fifty-two".