18006077628 has 288 divisors, whose sum is σ = 59504497920. Its totient is φ = 4656113280.

The previous prime is 18006077591. The next prime is 18006077633. The reversal of 18006077628 is 82677060081.

18006077628 is a `hidden beast` number, since 18 + 0 + 0 + 6 + 0 + 7 + 7 + 628 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16473450 + ... + 16474542.

It is an arithmetic number, because the mean of its divisors is an integer number (206612840).

Almost surely, 2^18006077628 is an apocalyptic number.

18006077628 is a gapful number since it is divisible by the number (18) 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 18006077628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29752248960).

18006077628 is an abundant number, since it is smaller than the sum of its proper divisors (41498420292).

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

18006077628 is a wasteful number, since it uses less digits than its factorization.

18006077628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 18006077628 in words is "eighteen billion, six million, seventy-seven thousand, six hundred twenty-eight".