9601562880 has 1152 divisors, whose sum is σ = 43514634240. Its totient is φ = 1950842880.

The previous prime is 9601562869. The next prime is 9601562917. The reversal of 9601562880 is 882651069.

9601562880 is a `hidden beast` number, since 9 + 6 + 0 + 1 + 562 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135233245 + ... + 135233315.

It is an arithmetic number, because the mean of its divisors is an integer number (37773120).

Almost surely, 2^9601562880 is an apocalyptic number.

9601562880 is a gapful number since it is divisible by the number (90) 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 9601562880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21757317120).

9601562880 is an abundant number, since it is smaller than the sum of its proper divisors (33913071360).

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

9601562880 is a wasteful number, since it uses less digits than its factorization.

9601562880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 9601562880 is about 97987.5649253516. The cubic root of 9601562880 is about 2125.4324659837.

The spelling of 9601562880 in words is "nine billion, six hundred one million, five hundred sixty-two thousand, eight hundred eighty".