4969546732800 has 2592 divisors, whose sum is σ = 22144683899520. Its totient is φ = 1089286963200.

The previous prime is 4969546732763. The next prime is 4969546732811. The reversal of 4969546732800 is 82376459694.

4969546732800 is a `hidden beast` number, since 4 + 9 + 6 + 9 + 546 + 7 + 3 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6530284420 + ... + 6530285180.

Almost surely, 2^{4969546732800} is an apocalyptic number.

4969546732800 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 4969546732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11072341949760).

4969546732800 is an abundant number, since it is smaller than the sum of its proper divisors (17175137166720).

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

4969546732800 is a wasteful number, since it uses less digits than its factorization.

4969546732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 4969546732800 in words is "four trillion, nine hundred sixty-nine billion, five hundred forty-six million, seven hundred thirty-two thousand, eight hundred".