4625087544 has 288 divisors, whose sum is σ = 15872220000. Its totient is φ = 1190914560.

The previous prime is 4625087491. The next prime is 4625087561. The reversal of 4625087544 is 4457805264.

4625087544 is a `hidden beast` number, since 4 + 6 + 25 + 0 + 87 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4625087544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9086362 + ... + 9086870.

It is an arithmetic number, because the mean of its divisors is an integer number (55111875).

Almost surely, 2^4625087544 is an apocalyptic number.

4625087544 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 4625087544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936110000).

4625087544 is an abundant number, since it is smaller than the sum of its proper divisors (11247132456).

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

4625087544 is a wasteful number, since it uses less digits than its factorization.

4625087544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 4625087544 is about 68007.9961769203. The cubic root of 4625087544 is about 1666.1214380460.

The spelling of 4625087544 in words is "four billion, six hundred twenty-five million, eighty-seven thousand, five hundred forty-four".