4628669260800 has 2112 divisors, whose sum is σ = 18569195495424. Its totient is φ = 1005217382400.

The previous prime is 4628669260757. The next prime is 4628669260819. The reversal of 4628669260800 is 80629668264.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27716582317 + ... + 27716582483.

Almost surely, 2^{4628669260800} is an apocalyptic number.

4628669260800 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 4628669260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9284597747712).

4628669260800 is an abundant number, since it is smaller than the sum of its proper divisors (13940526234624).

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

4628669260800 is a wasteful number, since it uses less digits than its factorization.

4628669260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 4628669260800 in words is "four trillion, six hundred twenty-eight billion, six hundred sixty-nine million, two hundred sixty thousand, eight hundred".