5460217984 has 128 divisors (see below), whose sum is σ = 12189864960. Its totient is φ = 2419200000.

The previous prime is 5460217951. The next prime is 5460218017. The reversal of 5460217984 is 4897120645.

It is an interprime number because it is at equal distance from previous prime (5460217951) and next prime (5460218017).

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 7788834 + ... + 7789534.

It is an arithmetic number, because the mean of its divisors is an integer number (95233320).

Almost surely, 2^5460217984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5460217984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094932480).

5460217984 is an abundant number, since it is smaller than the sum of its proper divisors (6729646976).

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

5460217984 is a wasteful number, since it uses less digits than its factorization.

5460217984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 5460217984 is about 73893.2878142528. The cubic root of 5460217984 is about 1760.9079750259.

The spelling of 5460217984 in words is "five billion, four hundred sixty million, two hundred seventeen thousand, nine hundred eighty-four".