4375769428800 has 2352 divisors, whose sum is σ = 20403911066112. Its totient is φ = 896765644800.

The previous prime is 4375769428787. The next prime is 4375769428931. The reversal of 4375769428800 is 88249675734.

4375769428800 is a `hidden beast` number, since 4 + 3 + 75 + 7 + 69 + 428 + 80 + 0 = 666.

4375769428800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 7454462107 + ... + 7454462693.

It is an arithmetic number, because the mean of its divisors is an integer number (8675132256).

Almost surely, 2^{4375769428800} is an apocalyptic number.

4375769428800 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 4375769428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10201955533056).

4375769428800 is an abundant number, since it is smaller than the sum of its proper divisors (16028141637312).

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

4375769428800 is a wasteful number, since it uses less digits than its factorization.

4375769428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 4375769428800 in words is "four trillion, three hundred seventy-five billion, seven hundred sixty-nine million, four hundred twenty-eight thousand, eight hundred".