5484067264000 has 1280 divisors, whose sum is σ = 16307820232704. Its totient is φ = 1820786688000.

The previous prime is 5484067263979. The next prime is 5484067264009. The reversal of 5484067264000 is 4627604845.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5484067264009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43181631937 + ... + 43181632063.

Almost surely, 2^{5484067264000} is an apocalyptic number.

5484067264000 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 5484067264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8153910116352).

5484067264000 is an abundant number, since it is smaller than the sum of its proper divisors (10823752968704).

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

5484067264000 is a wasteful number, since it uses less digits than its factorization.

5484067264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 46.

The spelling of 5484067264000 in words is "five trillion, four hundred eighty-four billion, sixty-seven million, two hundred sixty-four thousand".