7953154560 has 640 divisors, whose sum is σ = 31183004160. Its totient is φ = 1909260288.

The previous prime is 7953154541. The next prime is 7953154609. The reversal of 7953154560 is 654513597.

7953154560 is a `hidden beast` number, since 7 + 9 + 5 + 31 + 54 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

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 63 ways as a sum of consecutive naturals, for example, 47623597 + ... + 47623763.

It is an arithmetic number, because the mean of its divisors is an integer number (48723444).

Almost surely, 2^7953154560 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 7953154560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15591502080).

7953154560 is an abundant number, since it is smaller than the sum of its proper divisors (23229849600).

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

7953154560 is a wasteful number, since it uses less digits than its factorization.

7953154560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 7953154560 is about 89180.4606402097. The cubic root of 7953154560 is about 1996.0885686727.

The spelling of 7953154560 in words is "seven billion, nine hundred fifty-three million, one hundred fifty-four thousand, five hundred sixty".