4122679680 has 576 divisors, whose sum is σ = 17205486480. Its totient is φ = 940584960.

The previous prime is 4122679651. The next prime is 4122679697. The reversal of 4122679680 is 869762214.

It is a happy number.

4122679680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7620210 + ... + 7620750.

Almost surely, 2^4122679680 is an apocalyptic number.

4122679680 is a gapful number since it is divisible by the number (40) 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 4122679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8602743240).

4122679680 is an abundant number, since it is smaller than the sum of its proper divisors (13082806800).

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

4122679680 is an equidigital number, since it uses as much as digits as its factorization.

4122679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4122679680 is about 64208.0966856984. The cubic root of 4122679680 is about 1603.4664012821.

The spelling of 4122679680 in words is "four billion, one hundred twenty-two million, six hundred seventy-nine thousand, six hundred eighty".