7505120064 has 224 divisors, whose sum is σ = 22448885760. Its totient is φ = 2195601408.

The previous prime is 7505120027. The next prime is 7505120267. The reversal of 7505120064 is 4600215057.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13720239 + ... + 13720785.

It is an arithmetic number, because the mean of its divisors is an integer number (100218240).

Almost surely, 2^7505120064 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 7505120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11224442880).

7505120064 is an abundant number, since it is smaller than the sum of its proper divisors (14943765696).

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

7505120064 is a wasteful number, since it uses less digits than its factorization.

7505120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 7505120064 is about 86632.0960383621. The cubic root of 7505120064 is about 1957.8791497697.

The spelling of 7505120064 in words is "seven billion, five hundred five million, one hundred twenty thousand, sixty-four".