4561026624 has 672 divisors, whose sum is σ = 17512588800. Its totient is φ = 1150571520.

The previous prime is 4561026563. The next prime is 4561026653. The reversal of 4561026624 is 4266201654.

4561026624 is a `hidden beast` number, since 4 + 5 + 6 + 1 + 0 + 26 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54952087 + ... + 54952169.

It is an arithmetic number, because the mean of its divisors is an integer number (26060400).

Almost surely, 2^4561026624 is an apocalyptic number.

4561026624 is a gapful number since it is divisible by the number (44) 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 4561026624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8756294400).

4561026624 is an abundant number, since it is smaller than the sum of its proper divisors (12951562176).

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

4561026624 is a wasteful number, since it uses less digits than its factorization.

4561026624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

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

The square root of 4561026624 is about 67535.3731314191. The cubic root of 4561026624 is about 1658.3933048375.

The spelling of 4561026624 in words is "four billion, five hundred sixty-one million, twenty-six thousand, six hundred twenty-four".