4626175680 has 392 divisors, whose sum is σ = 18882737952. Its totient is φ = 1057038336.

The previous prime is 4626175669. The next prime is 4626175721. The reversal of 4626175680 is 865716264.

4626175680 is a `hidden beast` number, since 4 + 626 + 17 + 5 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1631544 + ... + 1634376.

Almost surely, 2^4626175680 is an apocalyptic number.

4626175680 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 4626175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9441368976).

4626175680 is an abundant number, since it is smaller than the sum of its proper divisors (14256562272).

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

4626175680 is an equidigital number, since it uses as much as digits as its factorization.

4626175680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4626175680 is about 68015.9957657021. The cubic root of 4626175680 is about 1666.2520895952.

The spelling of 4626175680 in words is "four billion, six hundred twenty-six million, one hundred seventy-five thousand, six hundred eighty".