228079687680 has 1536 divisors, whose sum is σ = 951035904000. Its totient is φ = 51385466880.

The previous prime is 228079687643. The next prime is 228079687697. The reversal of 228079687680 is 86786970822.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2562693076 + ... + 2562693164.

It is an arithmetic number, because the mean of its divisors is an integer number (619164000).

Almost surely, 2^228079687680 is an apocalyptic number.

228079687680 is a gapful number since it is divisible by the number (20) 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 228079687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475517952000).

228079687680 is an abundant number, since it is smaller than the sum of its proper divisors (722956216320).

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

228079687680 is a wasteful number, since it uses less digits than its factorization.

228079687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 228079687680 in words is "two hundred twenty-eight billion, seventy-nine million, six hundred eighty-seven thousand, six hundred eighty".