4647884008320 has 512 divisors, whose sum is σ = 19196824320000. Its totient is φ = 1062372132864.

The previous prime is 4647884008309. The next prime is 4647884008333. The reversal of 4647884008320 is 238004887464.

It is a happy number.

4647884008320 is a `hidden beast` number, since 4 + 64 + 7 + 88 + 400 + 83 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5534949 + ... + 6319131.

It is an arithmetic number, because the mean of its divisors is an integer number (37493797500).

Almost surely, 2^{4647884008320} is an apocalyptic number.

4647884008320 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 4647884008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9598412160000).

4647884008320 is an abundant number, since it is smaller than the sum of its proper divisors (14548940311680).

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

4647884008320 is an equidigital number, since it uses as much as digits as its factorization.

4647884008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784232 (or 784200 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 4647884008320 in words is "four trillion, six hundred forty-seven billion, eight hundred eighty-four million, eight thousand, three hundred twenty".