4612023779328 has 648 divisors, whose sum is σ = 15725538092628. Its totient is φ = 1298481020928.

The previous prime is 4612023779303. The next prime is 4612023779347. The reversal of 4612023779328 is 8239773202164.

It is a happy number.

4612023779328 is a `hidden beast` number, since 4 + 6 + 12 + 0 + 237 + 79 + 328 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4021019541504 + 591004237824 = 2005248^2 + 768768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4219600350 + ... + 4219601442.

Almost surely, 2^{4612023779328} is an apocalyptic number.

4612023779328 is a gapful number since it is divisible by the number (48) 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 4612023779328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862769046314).

4612023779328 is an abundant number, since it is smaller than the sum of its proper divisors (11113514313300).

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

4612023779328 is an equidigital number, since it uses as much as digits as its factorization.

4612023779328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 4612023779328 in words is "four trillion, six hundred twelve billion, twenty-three million, seven hundred seventy-nine thousand, three hundred twenty-eight".