4967712063360 has 768 divisors, whose sum is σ = 18246035808000. Its totient is φ = 1292645910528.

The previous prime is 4967712063341. The next prime is 4967712063371. The reversal of 4967712063360 is 633602177694.

It is a happy number.

4967712063360 is a `hidden beast` number, since 4 + 9 + 6 + 7 + 71 + 206 + 3 + 360 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4967712063297 and 4967712063306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4875084931 + ... + 4875085949.

It is an arithmetic number, because the mean of its divisors is an integer number (23757859125).

Almost surely, 2^{4967712063360} is an apocalyptic number.

4967712063360 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 4967712063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9123017904000).

4967712063360 is an abundant number, since it is smaller than the sum of its proper divisors (13278323744640).

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

4967712063360 is an frugal number, since it uses more digits than its factorization.

4967712063360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 4967712063360 in words is "four trillion, nine hundred sixty-seven billion, seven hundred twelve million, sixty-three thousand, three hundred sixty".