5006346400 has 72 divisors (see below), whose sum is σ = 13332834144. Its totient is φ = 1820486400.

The previous prime is 5006346349. The next prime is 5006346409. The reversal of 5006346400 is 46436005.

It is not an unprimeable number, because it can be changed into a prime (5006346409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 275652 + ... + 293251.

It is an arithmetic number, because the mean of its divisors is an integer number (185178252).

Almost surely, 2^5006346400 is an apocalyptic number.

5006346400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5006346400 is an abundant number, since it is smaller than the sum of its proper divisors (8326487744).

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

5006346400 is a wasteful number, since it uses less digits than its factorization.

5006346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568934 (or 568921 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 5006346400 is about 70755.5397124494. The cubic root of 5006346400 is about 1710.6991202162.

The spelling of 5006346400 in words is "five billion, six million, three hundred forty-six thousand, four hundred".