4784760288000 has 4608 divisors, whose sum is σ = 23803070054400. Its totient is φ = 917250048000.

The previous prime is 4784760287981. The next prime is 4784760288013. The reversal of 4784760288000 is 8820674874.

It is a happy number.

4784760288000 is a `hidden beast` number, since 4 + 78 + 476 + 0 + 28 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 81097631971 + ... + 81097632029.

It is an arithmetic number, because the mean of its divisors is an integer number (5165596800).

Almost surely, 2^{4784760288000} is an apocalyptic number.

4784760288000 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 4784760288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11901535027200).

4784760288000 is an abundant number, since it is smaller than the sum of its proper divisors (19018309766400).

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

4784760288000 is a wasteful number, since it uses less digits than its factorization.

4784760288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 4784760288000 in words is "four trillion, seven hundred eighty-four billion, seven hundred sixty million, two hundred eighty-eight thousand".