3166677073664 has 144 divisors (see below), whose sum is σ = 7062515792640. Its totient is φ = 1407207997440.

The previous prime is 3166677073649. The next prime is 3166677073739. The reversal of 3166677073664 is 4663707766613.

It is a happy number.

It is a super-4 number, since 4×3166677073664⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 3166677073597 and 3166677073606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20246192 + ... + 20402000.

It is an arithmetic number, because the mean of its divisors is an integer number (49045248560).

Almost surely, 2^{3166677073664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3166677073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531257896320).

3166677073664 is an abundant number, since it is smaller than the sum of its proper divisors (3895838718976).

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

3166677073664 is a wasteful number, since it uses less digits than its factorization.

3166677073664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156066 (or 156052 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 62.

The spelling of 3166677073664 in words is "three trillion, one hundred sixty-six billion, six hundred seventy-seven million, seventy-three thousand, six hundred sixty-four".