7552441680 has 160 divisors (see below), whose sum is σ = 26784000000. Its totient is φ = 1724545536.

The previous prime is 7552441679. The next prime is 7552441717. The reversal of 7552441680 is 861442557.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2516821 + ... + 2519819.

It is an arithmetic number, because the mean of its divisors is an integer number (167400000).

Almost surely, 2^7552441680 is an apocalyptic number.

7552441680 is a gapful number since it is divisible by the number (70) 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 7552441680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392000000).

7552441680 is an abundant number, since it is smaller than the sum of its proper divisors (19231558320).

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

7552441680 is a wasteful number, since it uses less digits than its factorization.

7552441680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4515 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 7552441680 is about 86904.7851386792. The cubic root of 7552441680 is about 1961.9855001365.

The spelling of 7552441680 in words is "seven billion, five hundred fifty-two million, four hundred forty-one thousand, six hundred eighty".