4076630208 has 168 divisors, whose sum is σ = 13849169152. Its totient is φ = 1164720384.

The previous prime is 4076630189. The next prime is 4076630237. The reversal of 4076630208 is 8020366704.

4076630208 is digitally balanced in base 2, because in such base 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 (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90141 + ... + 127587.

Almost surely, 2^4076630208 is an apocalyptic number.

4076630208 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 4076630208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6924584576).

4076630208 is an abundant number, since it is smaller than the sum of its proper divisors (9772538944).

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

4076630208 is an equidigital number, since it uses as much as digits as its factorization.

4076630208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37481 (or 37459 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4076630208 is about 63848.4941717500. The cubic root of 4076630208 is about 1597.4739055448.

The spelling of 4076630208 in words is "four billion, seventy-six million, six hundred thirty thousand, two hundred eight".