1667407872 has 224 divisors, whose sum is σ = 5086331712. Its totient is φ = 481296384.

The previous prime is 1667407837. The next prime is 1667407901. The reversal of 1667407872 is 2787047661.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5431143 + ... + 5431449.

It is an arithmetic number, because the mean of its divisors is an integer number (22706838).

Almost surely, 2^1667407872 is an apocalyptic number.

1667407872 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 1667407872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543165856).

1667407872 is an abundant number, since it is smaller than the sum of its proper divisors (3418923840).

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

1667407872 is a wasteful number, since it uses less digits than its factorization.

1667407872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 1667407872 is about 40833.9059116318. The cubic root of 1667407872 is about 1185.8068346675.

The spelling of 1667407872 in words is "one billion, six hundred sixty-seven million, four hundred seven thousand, eight hundred seventy-two".