10327777668 has 240 divisors, whose sum is σ = 30052915200. Its totient is φ = 3072577536.

The previous prime is 10327777633. The next prime is 10327777687. The reversal of 10327777668 is 86677772301.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 79 ways as a sum of consecutive naturals, for example, 23001508 + ... + 23001956.

It is an arithmetic number, because the mean of its divisors is an integer number (125220480).

Almost surely, 2^10327777668 is an apocalyptic number.

10327777668 is a gapful number since it is divisible by the number (18) 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 10327777668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15026457600).

10327777668 is an abundant number, since it is smaller than the sum of its proper divisors (19725137532).

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

10327777668 is a wasteful number, since it uses less digits than its factorization.

10327777668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 10327777668 in words is "ten billion, three hundred twenty-seven million, seven hundred seventy-seven thousand, six hundred sixty-eight".