4626172160 has 288 divisors, whose sum is σ = 12347983872. Its totient is φ = 1654456320.

The previous prime is 4626172127. The next prime is 4626172217. The reversal of 4626172160 is 612716264.

It is a self number, because there is not a number n which added to its sum of digits gives 4626172160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33767612 + ... + 33767748.

It is an arithmetic number, because the mean of its divisors is an integer number (42874944).

Almost surely, 2^4626172160 is an apocalyptic number.

4626172160 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 4626172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173991936).

4626172160 is an abundant number, since it is smaller than the sum of its proper divisors (7721811712).

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

4626172160 is a wasteful number, since it uses less digits than its factorization.

4626172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 4626172160 is about 68015.9698894311. The cubic root of 4626172160 is about 1666.2516669848.

The spelling of 4626172160 in words is "four billion, six hundred twenty-six million, one hundred seventy-two thousand, one hundred sixty".