4678744090000 has 100 divisors (see below), whose sum is σ = 11385213162444. Its totient is φ = 1861996864000.

The previous prime is 4678744089997. The next prime is 4678744090019. The reversal of 4678744090000 is 904478764.

It can be written as a sum of positive squares in 10 ways, for example, as 2299845042576 + 2378899047424 = 1516524^2 + 1542368^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 782502 + ... + 3157498.

Almost surely, 2^{4678744090000} is an apocalyptic number.

4678744090000 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 4678744090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5692606581222).

4678744090000 is an abundant number, since it is smaller than the sum of its proper divisors (6706469072444).

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

4678744090000 is a wasteful number, since it uses less digits than its factorization.

4678744090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375222 (or 2375201 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The spelling of 4678744090000 in words is "four trillion, six hundred seventy-eight billion, seven hundred forty-four million, ninety thousand".