6627787669440 has 672 divisors, whose sum is σ = 28063316975616. Its totient is φ = 1402309877760.

The previous prime is 6627787669367. The next prime is 6627787669537. The reversal of 6627787669440 is 449667877266.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14143534 + ... + 14604626.

Almost surely, 2^{6627787669440} is an apocalyptic number.

6627787669440 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 6627787669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031658487808).

6627787669440 is an abundant number, since it is smaller than the sum of its proper divisors (21435529306176).

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

6627787669440 is a wasteful number, since it uses less digits than its factorization.

6627787669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461177 (or 461164 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 6627787669440 in words is "six trillion, six hundred twenty-seven billion, seven hundred eighty-seven million, six hundred sixty-nine thousand, four hundred forty".