6676949111040 has 1152 divisors, whose sum is σ = 25912222963200. Its totient is φ = 1618270617600.

The previous prime is 6676949111039. The next prime is 6676949111069. The reversal of 6676949111040 is 401119496766.

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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12206488047 + ... + 12206488593.

It is an arithmetic number, because the mean of its divisors is an integer number (22493249100).

Almost surely, 2^{6676949111040} is an apocalyptic number.

6676949111040 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 6676949111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12956111481600).

6676949111040 is an abundant number, since it is smaller than the sum of its proper divisors (19235273852160).

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

6676949111040 is a wasteful number, since it uses less digits than its factorization.

6676949111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 6676949111040 in words is "six trillion, six hundred seventy-six billion, nine hundred forty-nine million, one hundred eleven thousand, forty".