5419482768 has 320 divisors, whose sum is σ = 19233054720. Its totient is φ = 1425696768.

The previous prime is 5419482763. The next prime is 5419482773. The reversal of 5419482768 is 8672849145.

It is a happy number.

5419482768 is a `hidden beast` number, since 541 + 94 + 8 + 2 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5419482763) and next prime (5419482773).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (5419482763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2415055 + ... + 2417297.

It is an arithmetic number, because the mean of its divisors is an integer number (60103296).

Almost surely, 2^5419482768 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 5419482768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9616527360).

5419482768 is an abundant number, since it is smaller than the sum of its proper divisors (13813571952).

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

5419482768 is a wasteful number, since it uses less digits than its factorization.

5419482768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2319 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 5419482768 is about 73617.1363746241. The cubic root of 5419482768 is about 1756.5180349378.

The spelling of 5419482768 in words is "five billion, four hundred nineteen million, four hundred eighty-two thousand, seven hundred sixty-eight".