5464035600 has 120 divisors (see below), whose sum is σ = 17569232640. Its totient is φ = 1451573760.

The previous prime is 5464035593. The next prime is 5464035611. The reversal of 5464035600 is 65304645.

It is a tau number, because it is divible by the number of its divisors (120).

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, 314337 + ... + 331263.

It is an arithmetic number, because the mean of its divisors is an integer number (146410272).

Almost surely, 2^5464035600 is an apocalyptic number.

5464035600 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 5464035600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8784616320).

5464035600 is an abundant number, since it is smaller than the sum of its proper divisors (12105197040).

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

5464035600 is a wasteful number, since it uses less digits than its factorization.

5464035600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17217 (or 17206 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 5464035600 is about 73919.1152544455. The cubic root of 5464035600 is about 1761.3182702665.

The spelling of 5464035600 in words is "five billion, four hundred sixty-four million, thirty-five thousand, six hundred".