7505952480 has 720 divisors, whose sum is σ = 30132194400. Its totient is φ = 1755426816.

The previous prime is 7505952473. The next prime is 7505952547. The reversal of 7505952480 is 842595057.

7505952480 is a `hidden beast` number, since 7 + 50 + 595 + 2 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 50375446 + ... + 50375594.

It is an arithmetic number, because the mean of its divisors is an integer number (41850270).

Almost surely, 2^7505952480 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 7505952480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15066097200).

7505952480 is an abundant number, since it is smaller than the sum of its proper divisors (22626241920).

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

7505952480 is a wasteful number, since it uses less digits than its factorization.

7505952480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 7505952480 is about 86636.9002215569. The cubic root of 7505952480 is about 1957.9515318976.

The spelling of 7505952480 in words is "seven billion, five hundred five million, nine hundred fifty-two thousand, four hundred eighty".