4788690192000 has 3456 divisors, whose sum is σ = 21867792382800. Its totient is φ = 1034643456000.

The previous prime is 4788690191983. The next prime is 4788690192019. The reversal of 4788690192000 is 2910968874.

4788690192000 is a `hidden beast` number, since 478 + 86 + 9 + 0 + 1 + 92 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 50808384 + 4788639383616 = 7128^2 + 2188296^2 .

It is a tau number, because it is divible by the number of its divisors (3456).

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 431 ways as a sum of consecutive naturals, for example, 165127247986 + ... + 165127248014.

Almost surely, 2^{4788690192000} is an apocalyptic number.

4788690192000 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 4788690192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10933896191400).

4788690192000 is an abundant number, since it is smaller than the sum of its proper divisors (17079102190800).

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

4788690192000 is an equidigital number, since it uses as much as digits as its factorization.

4788690192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 4788690192000 in words is "four trillion, seven hundred eighty-eight billion, six hundred ninety million, one hundred ninety-two thousand".