5464942200 has 144 divisors (see below), whose sum is σ = 18441360600. Its totient is φ = 1450310400.

The previous prime is 5464942199. The next prime is 5464942261. The reversal of 5464942200 is 22494645.

5464942200 is a `hidden beast` number, since 5 + 4 + 649 + 4 + 2 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 372606 + ... + 386994.

Almost surely, 2^5464942200 is an apocalyptic number.

5464942200 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 5464942200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9220680300).

5464942200 is an abundant number, since it is smaller than the sum of its proper divisors (12976418400).

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

5464942200 is a wasteful number, since it uses less digits than its factorization.

5464942200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14622 (or 14610 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5464942200 is about 73925.2473786865. The cubic root of 5464942200 is about 1761.4156782968.

The spelling of 5464942200 in words is "five billion, four hundred sixty-four million, nine hundred forty-two thousand, two hundred".