6607729578240 has 2304 divisors, whose sum is σ = 29537206272000. Its totient is φ = 1364833566720.

The previous prime is 6607729578157. The next prime is 6607729578287. The reversal of 6607729578240 is 428759277066.

It is a tau number, because it is divible by the number of its divisors (2304).

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

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 255 ways as a sum of consecutive naturals, for example, 11256779227 + ... + 11256779813.

It is an arithmetic number, because the mean of its divisors is an integer number (12819968000).

Almost surely, 2^{6607729578240} is an apocalyptic number.

6607729578240 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 6607729578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14768603136000).

6607729578240 is an abundant number, since it is smaller than the sum of its proper divisors (22929476693760).

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

6607729578240 is a wasteful number, since it uses less digits than its factorization.

6607729578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 6607729578240 in words is "six trillion, six hundred seven billion, seven hundred twenty-nine million, five hundred seventy-eight thousand, two hundred forty".