9652794480 has 480 divisors, whose sum is σ = 39614500224. Its totient is φ = 2056126464.

The previous prime is 9652794467. The next prime is 9652794493. The reversal of 9652794480 is 844972569.

9652794480 is a `hidden beast` number, since 96 + 5 + 2 + 79 + 4 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (9652794467) and next prime (9652794493).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9681342 + ... + 9682338.

Almost surely, 2^9652794480 is an apocalyptic number.

9652794480 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 9652794480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19807250112).

9652794480 is an abundant number, since it is smaller than the sum of its proper divisors (29961705744).

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

9652794480 is a wasteful number, since it uses less digits than its factorization.

9652794480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 9652794480 is about 98248.6360210665. The cubic root of 9652794480 is about 2129.2060255736.

The spelling of 9652794480 in words is "nine billion, six hundred fifty-two million, seven hundred ninety-four thousand, four hundred eighty".