5464762200 has 240 divisors, whose sum is σ = 20097407880. Its totient is φ = 1371479040.

The previous prime is 5464762157. The next prime is 5464762207. The reversal of 5464762200 is 22674645.

5464762200 is a `hidden beast` number, since 5 + 4 + 647 + 6 + 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 not an unprimeable number, because it can be changed into a prime (5464762207) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 265479 + ... + 285321.

Almost surely, 2^5464762200 is an apocalyptic number.

5464762200 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 5464762200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10048703940).

5464762200 is an abundant number, since it is smaller than the sum of its proper divisors (14632645680).

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

5464762200 is a wasteful number, since it uses less digits than its factorization.

5464762200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19888 (or 19870 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5464762200 is about 73924.0299226172. The cubic root of 5464762200 is about 1761.3963393730.

The spelling of 5464762200 in words is "five billion, four hundred sixty-four million, seven hundred sixty-two thousand, two hundred".