9515117664 has 288 divisors, whose sum is σ = 31067172864. Its totient is φ = 2739686400.

The previous prime is 9515117663. The next prime is 9515117669. The reversal of 9515117664 is 4667115159.

9515117664 is a `hidden beast` number, since 9 + 5 + 1 + 511 + 76 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9515117663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4046089 + ... + 4048439.

It is an arithmetic number, because the mean of its divisors is an integer number (107872128).

Almost surely, 2^9515117664 is an apocalyptic number.

9515117664 is a gapful number since it is divisible by the number (94) 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 9515117664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15533586432).

9515117664 is an abundant number, since it is smaller than the sum of its proper divisors (21552055200).

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

9515117664 is a wasteful number, since it uses less digits than its factorization.

9515117664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2439 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 9515117664 is about 97545.4645998470. The cubic root of 9515117664 is about 2119.0346310801.

The spelling of 9515117664 in words is "nine billion, five hundred fifteen million, one hundred seventeen thousand, six hundred sixty-four".