5195038464 has 576 divisors, whose sum is σ = 19685191680. Its totient is φ = 1312174080.

The previous prime is 5195038447. The next prime is 5195038477. The reversal of 5195038464 is 4648305915.

5195038464 is a `hidden beast` number, since 5 + 1 + 9 + 503 + 84 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22885519 + ... + 22885745.

It is an arithmetic number, because the mean of its divisors is an integer number (34175680).

Almost surely, 2^5195038464 is an apocalyptic number.

5195038464 is a gapful number since it is divisible by the number (54) 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 5195038464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9842595840).

5195038464 is an abundant number, since it is smaller than the sum of its proper divisors (14490153216).

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

5195038464 is a wasteful number, since it uses less digits than its factorization.

5195038464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5195038464 is about 72076.6152368436. The cubic root of 5195038464 is about 1731.9270255333.

The spelling of 5195038464 in words is "five billion, one hundred ninety-five million, thirty-eight thousand, four hundred sixty-four".