4626538560 has 560 divisors, whose sum is σ = 19278331776. Its totient is φ = 1031159808.

The previous prime is 4626538507. The next prime is 4626538561. The reversal of 4626538560 is 658356264.

4626538560 is a `hidden beast` number, since 4 + 6 + 265 + 385 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4626538561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7801624 + ... + 7802216.

Almost surely, 2^4626538560 is an apocalyptic number.

4626538560 is a gapful number since it is divisible by the number (40) 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 4626538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9639165888).

4626538560 is an abundant number, since it is smaller than the sum of its proper divisors (14651793216).

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

4626538560 is a wasteful number, since it uses less digits than its factorization.

4626538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 4626538560 is about 68018.6633211797. The cubic root of 4626538560 is about 1666.2956557278.

The spelling of 4626538560 in words is "four billion, six hundred twenty-six million, five hundred thirty-eight thousand, five hundred sixty".