30667408128 has 972 divisors, whose sum is σ = 118729807560. Its totient is φ = 7543259136.

The previous prime is 30667408117. The next prime is 30667408139. The reversal of 30667408128 is 82180476603.

It is an interprime number because it is at equal distance from previous prime (30667408117) and next prime (30667408139).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1057496818 + ... + 1057496846.

Almost surely, 2^30667408128 is an apocalyptic number.

30667408128 is a gapful number since it is divisible by the number (38) 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 30667408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59364903780).

30667408128 is an abundant number, since it is smaller than the sum of its proper divisors (88062399432).

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

30667408128 is a wasteful number, since it uses less digits than its factorization.

30667408128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 30667408128 in words is "thirty billion, six hundred sixty-seven million, four hundred eight thousand, one hundred twenty-eight".