5381679360 has 288 divisors, whose sum is σ = 18098131968. Its totient is φ = 1361018880.

The previous prime is 5381679313. The next prime is 5381679397. The reversal of 5381679360 is 639761835.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 6308694 + ... + 6309546.

It is an arithmetic number, because the mean of its divisors is an integer number (62840736).

Almost surely, 2^5381679360 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 5381679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9049065984).

5381679360 is an abundant number, since it is smaller than the sum of its proper divisors (12716452608).

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

5381679360 is a wasteful number, since it uses less digits than its factorization.

5381679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 5381679360 is about 73359.9302071642. The cubic root of 5381679360 is about 1752.4243254035.

The spelling of 5381679360 in words is "five billion, three hundred eighty-one million, six hundred seventy-nine thousand, three hundred sixty".