552752640 has 320 divisors, whose sum is σ = 2144862720. Its totient is φ = 133816320.

The previous prime is 552752639. The next prime is 552752687. The reversal of 552752640 is 46257255.

552752640 is a `hidden beast` number, since 5 + 5 + 2 + 7 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 552752595 and 552752604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759957 + ... + 760683.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2^552752640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072431360).

552752640 is an abundant number, since it is smaller than the sum of its proper divisors (1592110080).

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

552752640 is a wasteful number, since it uses less digits than its factorization.

552752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 552752640 is about 23510.6920357526. The cubic root of 552752640 is about 820.6858430205.

The spelling of 552752640 in words is "five hundred fifty-two million, seven hundred fifty-two thousand, six hundred forty".