5459664600 has 192 divisors, whose sum is σ = 20252349600. Its totient is φ = 1343900160.

The previous prime is 5459664593. The next prime is 5459664643. The reversal of 5459664600 is 64669545.

5459664600 is a `hidden beast` number, since 54 + 596 + 6 + 4 + 6 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31314 + ... + 109086.

Almost surely, 2^5459664600 is an apocalyptic number.

5459664600 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 5459664600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10126174800).

5459664600 is an abundant number, since it is smaller than the sum of its proper divisors (14792685000).

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

5459664600 is a wasteful number, since it uses less digits than its factorization.

5459664600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77811 (or 77796 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 5459664600 is about 73889.5432385395. The cubic root of 5459664600 is about 1760.8484846525.

The spelling of 5459664600 in words is "five billion, four hundred fifty-nine million, six hundred sixty-four thousand, six hundred".