7649912160 has 576 divisors, whose sum is σ = 30538819584. Its totient is φ = 1791590400.

The previous prime is 7649912113. The next prime is 7649912177. The reversal of 7649912160 is 612199467.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13257792 + ... + 13258368.

It is an arithmetic number, because the mean of its divisors is an integer number (53018784).

Almost surely, 2^7649912160 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 7649912160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15269409792).

7649912160 is an abundant number, since it is smaller than the sum of its proper divisors (22888907424).

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

7649912160 is a wasteful number, since it uses less digits than its factorization.

7649912160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 7649912160 is about 87463.7762733807. The cubic root of 7649912160 is about 1970.3897946332.

The spelling of 7649912160 in words is "seven billion, six hundred forty-nine million, nine hundred twelve thousand, one hundred sixty".