6772829672466 has 288 divisors, whose sum is σ = 17480639816640. Its totient is φ = 1882532171520.

The previous prime is 6772829672437. The next prime is 6772829672501. The reversal of 6772829672466 is 6642769282776.

It is a happy number.

6772829672466 is a `hidden beast` number, since 6 + 7 + 7 + 2 + 8 + 2 + 96 + 72 + 466 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6772829672394 and 6772829672403.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3381341821 + ... + 3381343823.

It is an arithmetic number, because the mean of its divisors is an integer number (60696666030).

Almost surely, 2^{6772829672466} is an apocalyptic number.

6772829672466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6772829672466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8740319908320).

6772829672466 is an abundant number, since it is smaller than the sum of its proper divisors (10707810144174).

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

6772829672466 is a wasteful number, since it uses less digits than its factorization.

6772829672466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2728 counting only the distinct ones).

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

The spelling of 6772829672466 in words is "six trillion, seven hundred seventy-two billion, eight hundred twenty-nine million, six hundred seventy-two thousand, four hundred sixty-six".