4664112760800 has 216 divisors, whose sum is σ = 16451852639040. Its totient is φ = 1243383398400.

The previous prime is 4664112760739. The next prime is 4664112760831. The reversal of 4664112760800 is 80672114664.

4664112760800 is a `hidden beast` number, since 4 + 6 + 6 + 4 + 11 + 27 + 608 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 23871505 + ... + 24066095.

It is an arithmetic number, because the mean of its divisors is an integer number (76165984440).

Almost surely, 2^{4664112760800} is an apocalyptic number.

4664112760800 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 4664112760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225926319520).

4664112760800 is an abundant number, since it is smaller than the sum of its proper divisors (11787739878240).

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

4664112760800 is a wasteful number, since it uses less digits than its factorization.

4664112760800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197946 (or 197930 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 4664112760800 in words is "four trillion, six hundred sixty-four billion, one hundred twelve million, seven hundred sixty thousand, eight hundred".