4313776672800 has 1152 divisors, whose sum is σ = 18257311457280. Its totient is φ = 962504294400.

The previous prime is 4313776672783. The next prime is 4313776672801. The reversal of 4313776672800 is 82766773134.

4313776672800 is a `hidden beast` number, since 431 + 3 + 7 + 7 + 66 + 72 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4313776672801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4555201927 + ... + 4555202873.

It is an arithmetic number, because the mean of its divisors is an integer number (15848360640).

Almost surely, 2^{4313776672800} is an apocalyptic number.

4313776672800 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 4313776672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9128655728640).

4313776672800 is an abundant number, since it is smaller than the sum of its proper divisors (13943534784480).

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

4313776672800 is a wasteful number, since it uses less digits than its factorization.

4313776672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 4313776672800 in words is "four trillion, three hundred thirteen billion, seven hundred seventy-six million, six hundred seventy-two thousand, eight hundred".