4656313273920 has 672 divisors, whose sum is σ = 19453004706816. Its totient is φ = 916616908800.

The previous prime is 4656313273877. The next prime is 4656313273973. The reversal of 4656313273920 is 293723136564.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26597875 + ... + 26772365.

Almost surely, 2^{4656313273920} is an apocalyptic number.

4656313273920 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 4656313273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9726502353408).

4656313273920 is an abundant number, since it is smaller than the sum of its proper divisors (14796691432896).

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

4656313273920 is a wasteful number, since it uses less digits than its factorization.

4656313273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174567 (or 174538 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 51.

The spelling of 4656313273920 in words is "four trillion, six hundred fifty-six billion, three hundred thirteen million, two hundred seventy-three thousand, nine hundred twenty".