4631921600 has 42 divisors (see below), whose sum is σ = 11397426024. Its totient is φ = 1852768000.

The previous prime is 4631921599. The next prime is 4631921617. The reversal of 4631921600 is 61291364.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1445876 + ... + 1449075.

Almost surely, 2^4631921600 is an apocalyptic number.

4631921600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4631921600 is an abundant number, since it is smaller than the sum of its proper divisors (6765504424).

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

4631921600 is a wasteful number, since it uses less digits than its factorization.

4631921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894973 (or 2894958 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 4631921600 is about 68058.2221336996. Note that the first 3 decimals coincide. The cubic root of 4631921600 is about 1666.9416577366.

The spelling of 4631921600 in words is "four billion, six hundred thirty-one million, nine hundred twenty-one thousand, six hundred".