6607765200960 has 5040 divisors, whose sum is σ = 33103852024320. Its totient is φ = 1241572147200.

The previous prime is 6607765200913. The next prime is 6607765200973. The reversal of 6607765200960 is 690025677066.

6607765200960 is a `hidden beast` number, since 6 + 607 + 7 + 6 + 5 + 20 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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

It is a junction number, because it is equal to n+sod(n) for n = 6607765200897 and 6607765200906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 90517331484 + ... + 90517331556.

It is an arithmetic number, because the mean of its divisors is an integer number (6568224608).

Almost surely, 2^{6607765200960} is an apocalyptic number.

6607765200960 is a gapful number since it is divisible by the number (60) 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 6607765200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16551926012160).

6607765200960 is an abundant number, since it is smaller than the sum of its proper divisors (26496086823360).

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

6607765200960 is a wasteful number, since it uses less digits than its factorization.

6607765200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 6607765200960 in words is "six trillion, six hundred seven billion, seven hundred sixty-five million, two hundred thousand, nine hundred sixty".