5378405760 has 768 divisors, whose sum is σ = 23666872320. Its totient is φ = 1094860800.

The previous prime is 5378405749. The next prime is 5378405797. The reversal of 5378405760 is 675048735.

5378405760 is a `hidden beast` number, since 5 + 3 + 78 + 4 + 0 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16248795 + ... + 16249125.

It is an arithmetic number, because the mean of its divisors is an integer number (30816240).

Almost surely, 2^5378405760 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 5378405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11833436160).

5378405760 is an abundant number, since it is smaller than the sum of its proper divisors (18288466560).

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

5378405760 is a wasteful number, since it uses less digits than its factorization.

5378405760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5378405760 is about 73337.6149053131. The cubic root of 5378405760 is about 1752.0689282946.

The spelling of 5378405760 in words is "five billion, three hundred seventy-eight million, four hundred five thousand, seven hundred sixty".