4773156172800 has 264 divisors, whose sum is σ = 15783632196576. Its totient is φ = 1272187944960.

The previous prime is 4773156172751. The next prime is 4773156172849. The reversal of 4773156172800 is 82716513774.

It is an interprime number because it is at equal distance from previous prime (4773156172751) and next prime (4773156172849).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159959482 + ... + 159989318.

Almost surely, 2^{4773156172800} is an apocalyptic number.

4773156172800 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 4773156172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7891816098288).

4773156172800 is an abundant number, since it is smaller than the sum of its proper divisors (11010476023776).

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

4773156172800 is a wasteful number, since it uses less digits than its factorization.

4773156172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31953 (or 31930 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 4773156172800 in words is "four trillion, seven hundred seventy-three billion, one hundred fifty-six million, one hundred seventy-two thousand, eight hundred".