4512800772480 has 1024 divisors, whose sum is σ = 19364118681600. Its totient is φ = 863325388800.

The previous prime is 4512800772479. The next prime is 4512800772509. The reversal of 4512800772480 is 842770082154.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 786062410 + ... + 786068150.

It is an arithmetic number, because the mean of its divisors is an integer number (18910272150).

Almost surely, 2^{4512800772480} is an apocalyptic number.

4512800772480 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 4512800772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9682059340800).

4512800772480 is an abundant number, since it is smaller than the sum of its proper divisors (14851317909120).

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

4512800772480 is a wasteful number, since it uses less digits than its factorization.

4512800772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6203 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 48.

The spelling of 4512800772480 in words is "four trillion, five hundred twelve billion, eight hundred million, seven hundred seventy-two thousand, four hundred eighty".