4532756480000 has 340 divisors, whose sum is σ = 12947308722480. Its totient is φ = 1553989632000.

The previous prime is 4532756479991. The next prime is 4532756480027. The reversal of 4532756480000 is 846572354.

It is a congruent number.

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, 286712096 + ... + 286727904.

It is an arithmetic number, because the mean of its divisors is an integer number (38080319772).

Almost surely, 2^{4532756480000} is an apocalyptic number.

4532756480000 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 4532756480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6473654361240).

4532756480000 is an abundant number, since it is smaller than the sum of its proper divisors (8414552242480).

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

4532756480000 is an frugal number, since it uses more digits than its factorization.

4532756480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15868 (or 15823 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

The spelling of 4532756480000 in words is "four trillion, five hundred thirty-two billion, seven hundred fifty-six million, four hundred eighty thousand".