4079620000 has 180 divisors, whose sum is σ = 10384293150. Its totient is φ = 1577088000.

The previous prime is 4079619991. The next prime is 4079620019. The reversal of 4079620000 is 269704.

It can be written as a sum of positive squares in 15 ways, for example, as 738317584 + 3341302416 = 27172^2 + 57804^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 27379926 + ... + 27380074.

Almost surely, 2^4079620000 is an apocalyptic number.

4079620000 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 4079620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192146575).

4079620000 is an abundant number, since it is smaller than the sum of its proper divisors (6304673150).

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

4079620000 is an equidigital number, since it uses as much as digits as its factorization.

4079620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 4079620000 is about 63871.9030560387. The cubic root of 4079620000 is about 1597.8643381110.

Adding to 4079620000 its reverse (269704), we get a palindrome (4079889704).

The spelling of 4079620000 in words is "four billion, seventy-nine million, six hundred twenty thousand".