4869727672320 has 1920 divisors, whose sum is σ = 21371135385600. Its totient is φ = 1035268521984.

The previous prime is 4869727672301. The next prime is 4869727672339. The reversal of 4869727672320 is 232767279684.

4869727672320 is a `hidden beast` number, since 48 + 6 + 97 + 276 + 7 + 232 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4869727672301) and next prime (4869727672339).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×4869727672320³ (a number of 39 digits) contains 333 as substring.

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

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10166445841 + ... + 10166446319.

It is an arithmetic number, because the mean of its divisors is an integer number (11130799680).

Almost surely, 2^{4869727672320} is an apocalyptic number.

4869727672320 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 4869727672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10685567692800).

4869727672320 is an abundant number, since it is smaller than the sum of its proper divisors (16501407713280).

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

4869727672320 is a wasteful number, since it uses less digits than its factorization.

4869727672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 4869727672320 in words is "four trillion, eight hundred sixty-nine billion, seven hundred twenty-seven million, six hundred seventy-two thousand, three hundred twenty".