7123152960 has 1120 divisors, whose sum is σ = 32714744832. Its totient is φ = 1428295680.

The previous prime is 7123152941. The next prime is 7123152977. The reversal of 7123152960 is 692513217.

7123152960 is a `hidden beast` number, since 7 + 123 + 1 + 529 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 85821079 + ... + 85821161.

Almost surely, 2^7123152960 is an apocalyptic number.

7123152960 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 7123152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16357372416).

7123152960 is an abundant number, since it is smaller than the sum of its proper divisors (25591591872).

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

7123152960 is a wasteful number, since it uses less digits than its factorization.

7123152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 7123152960 is about 84398.7734508032. The cubic root of 7123152960 is about 1924.0842744137.

The spelling of 7123152960 in words is "seven billion, one hundred twenty-three million, one hundred fifty-two thousand, nine hundred sixty".