5463995328000 has 1920 divisors, whose sum is σ = 22477854896640. Its totient is φ = 1263575040000.

The previous prime is 5463995327993. The next prime is 5463995328061. The reversal of 5463995328000 is 8235993645.

5463995328000 is a `hidden beast` number, since 546 + 3 + 9 + 95 + 3 + 2 + 8 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24070463887 + ... + 24070464113.

It is an arithmetic number, because the mean of its divisors is an integer number (11707216092).

Almost surely, 2^{5463995328000} is an apocalyptic number.

5463995328000 is a gapful number since it is divisible by the number (50) 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 5463995328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11238927448320).

5463995328000 is an abundant number, since it is smaller than the sum of its proper divisors (17013859568640).

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

5463995328000 is a wasteful number, since it uses less digits than its factorization.

5463995328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 5463995328000 in words is "five trillion, four hundred sixty-three billion, nine hundred ninety-five million, three hundred twenty-eight thousand".