1567670412672 has 2160 divisors, whose sum is σ = 6391911309300. Its totient is φ = 379055738880.

The previous prime is 1567670412629. The next prime is 1567670412677. The reversal of 1567670412672 is 2762140767651.

1567670412672 is a `hidden beast` number, since 1 + 567 + 6 + 7 + 0 + 4 + 1 + 2 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1567670412677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 50570013297 + ... + 50570013327.

Almost surely, 2^{1567670412672} is an apocalyptic number.

1567670412672 is a gapful number since it is divisible by the number (12) 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 1567670412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195955654650).

1567670412672 is an abundant number, since it is smaller than the sum of its proper divisors (4824240896628).

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

1567670412672 is a wasteful number, since it uses less digits than its factorization.

1567670412672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 1567670412672 in words is "one trillion, five hundred sixty-seven billion, six hundred seventy million, four hundred twelve thousand, six hundred seventy-two".