4781323929600 has 864 divisors, whose sum is σ = 18206274177000. Its totient is φ = 1195030609920.

The previous prime is 4781323929563. The next prime is 4781323929601. The reversal of 4781323929600 is 69293231874.

4781323929600 is a `hidden beast` number, since 4 + 7 + 8 + 1 + 3 + 2 + 3 + 9 + 29 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 111160894464 + 4670163035136 = 333408^2 + 2161056^2 .

It is a super-2 number, since 2×4781323929600² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4781323929601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2107237266 + ... + 2107239534.

Almost surely, 2^{4781323929600} is an apocalyptic number.

4781323929600 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 4781323929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9103137088500).

4781323929600 is an abundant number, since it is smaller than the sum of its proper divisors (13424950247400).

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

4781323929600 is a wasteful number, since it uses less digits than its factorization.

4781323929600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 4781323929600 in words is "four trillion, seven hundred eighty-one billion, three hundred twenty-three million, nine hundred twenty-nine thousand, six hundred".