4801692672 has 396 divisors, whose sum is σ = 16697231616. Its totient is φ = 1327656960.

The previous prime is 4801692647. The next prime is 4801692683. The reversal of 4801692672 is 2762961084.

It is a happy number.

4801692672 is a `hidden beast` number, since 480 + 16 + 92 + 6 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154893297 + ... + 154893327.

Almost surely, 2^4801692672 is an apocalyptic number.

4801692672 is a gapful number since it is divisible by the number (42) 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 4801692672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8348615808).

4801692672 is an abundant number, since it is smaller than the sum of its proper divisors (11895538944).

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

4801692672 is an frugal number, since it uses more digits than its factorization.

4801692672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 43 counting only the distinct ones).

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

The square root of 4801692672 is about 69294.2470339349. The cubic root of 4801692672 is about 1687.0635926970.

The spelling of 4801692672 in words is "four billion, eight hundred one million, six hundred ninety-two thousand, six hundred seventy-two".