4664731638400 has 192 divisors, whose sum is σ = 11853872553600. Its totient is φ = 1812754227200.

The previous prime is 4664731638283. The next prime is 4664731638401. The reversal of 4664731638400 is 48361374664.

It is a super-3 number, since 3×4664731638400³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4664731638401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31282419 + ... + 31431181.

It is an arithmetic number, because the mean of its divisors is an integer number (61738919550).

Almost surely, 2^{4664731638400} is an apocalyptic number.

4664731638400 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 4664731638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926936276800).

4664731638400 is an abundant number, since it is smaller than the sum of its proper divisors (7189140915200).

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

4664731638400 is a wasteful number, since it uses less digits than its factorization.

4664731638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149067 (or 149050 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 52.

The spelling of 4664731638400 in words is "four trillion, six hundred sixty-four billion, seven hundred thirty-one million, six hundred thirty-eight thousand, four hundred".