5378717600 has 144 divisors (see below), whose sum is σ = 14117846400. Its totient is φ = 1994618880.

The previous prime is 5378717573. The next prime is 5378717627. The reversal of 5378717600 is 67178735.

It is an interprime number because it is at equal distance from previous prime (5378717573) and next prime (5378717627).

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 23 ways as a sum of consecutive naturals, for example, 710636 + ... + 718164.

It is an arithmetic number, because the mean of its divisors is an integer number (98040600).

Almost surely, 2^5378717600 is an apocalyptic number.

5378717600 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 5378717600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058923200).

5378717600 is an abundant number, since it is smaller than the sum of its proper divisors (8739128800).

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

5378717600 is a wasteful number, since it uses less digits than its factorization.

5378717600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7615 (or 7602 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 44.

The square root of 5378717600 is about 73339.7409321849. The cubic root of 5378717600 is about 1752.1027892960.

The spelling of 5378717600 in words is "five billion, three hundred seventy-eight million, seven hundred seventeen thousand, six hundred".