6585536937980 has 864 divisors, whose sum is σ = 19875144586752. Its totient is φ = 1801345996800.

The previous prime is 6585536937961. The next prime is 6585536937983. The reversal of 6585536937980 is 897396355856.

It is a super-2 number, since 2×6585536937980² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6585536937898 and 6585536937907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6585536937983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8367899147 + ... + 8367899933.

It is an arithmetic number, because the mean of its divisors is an integer number (23003639568).

Almost surely, 2^{6585536937980} 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 6585536937980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9937572293376).

6585536937980 is an abundant number, since it is smaller than the sum of its proper divisors (13289607648772).

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

6585536937980 is a wasteful number, since it uses less digits than its factorization.

6585536937980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 1469664000, while the sum is 74.

The spelling of 6585536937980 in words is "six trillion, five hundred eighty-five billion, five hundred thirty-six million, nine hundred thirty-seven thousand, nine hundred eighty".