4723552972800 has 1872 divisors, whose sum is σ = 18840369416960. Its totient is φ = 1169550213120.

The previous prime is 4723552972777. The next prime is 4723552972829. The reversal of 4723552972800 is 82792553274.

4723552972800 is a `hidden beast` number, since 4 + 7 + 2 + 3 + 552 + 9 + 7 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45859737549 + ... + 45859737651.

Almost surely, 2^{4723552972800} is an apocalyptic number.

4723552972800 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 4723552972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9420184708480).

4723552972800 is an abundant number, since it is smaller than the sum of its proper divisors (14116816444160).

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

4723552972800 is a wasteful number, since it uses less digits than its factorization.

4723552972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 4723552972800 in words is "four trillion, seven hundred twenty-three billion, five hundred fifty-two million, nine hundred seventy-two thousand, eight hundred".