7506171648 has 216 divisors, whose sum is σ = 22391905536. Its totient is φ = 2416435200.

The previous prime is 7506171641. The next prime is 7506171677. The reversal of 7506171648 is 8461716057.

It is a super-2 number, since 2×7506171648² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7506171641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16282138 + ... + 16282598.

Almost surely, 2^7506171648 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 7506171648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11195952768).

7506171648 is an abundant number, since it is smaller than the sum of its proper divisors (14885733888).

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

7506171648 is a wasteful number, since it uses less digits than its factorization.

7506171648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 7506171648 is about 86638.1650775223. The cubic root of 7506171648 is about 1957.9705886016.

The spelling of 7506171648 in words is "seven billion, five hundred six million, one hundred seventy-one thousand, six hundred forty-eight".