2607027779328 has 576 divisors, whose sum is σ = 8315180375040. Its totient is φ = 709437947904.

The previous prime is 2607027779311. The next prime is 2607027779329. The reversal of 2607027779328 is 8239777207062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2607027779329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4396336600 + ... + 4396337192.

It is an arithmetic number, because the mean of its divisors is an integer number (14436077040).

Almost surely, 2^{2607027779328} is an apocalyptic number.

2607027779328 is a gapful number since it is divisible by the number (28) 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 2607027779328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157590187520).

2607027779328 is an abundant number, since it is smaller than the sum of its proper divisors (5708152595712).

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

2607027779328 is a wasteful number, since it uses less digits than its factorization.

2607027779328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 60.

The spelling of 2607027779328 in words is "two trillion, six hundred seven billion, twenty-seven million, seven hundred seventy-nine thousand, three hundred twenty-eight".