4660073935104 has 1296 divisors, whose sum is σ = 15977396348928. Its totient is φ = 1200938876928.

The previous prime is 4660073935087. The next prime is 4660073935117. The reversal of 4660073935104 is 4015393700664.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36693495489 + ... + 36693495615.

Almost surely, 2^{4660073935104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4660073935104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988698174464).

4660073935104 is an abundant number, since it is smaller than the sum of its proper divisors (11317322413824).

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

4660073935104 is a wasteful number, since it uses less digits than its factorization.

4660073935104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 4660073935104 in words is "four trillion, six hundred sixty billion, seventy-three million, nine hundred thirty-five thousand, one hundred four".