9620432640 has 1728 divisors, whose sum is σ = 46976025600. Its totient is φ = 1839366144.

The previous prime is 9620432639. The next prime is 9620432669. The reversal of 9620432640 is 462340269.

9620432640 is a `hidden beast` number, since 9 + 6 + 2 + 0 + 4 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 9620432595 and 9620432604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 418279669 + ... + 418279691.

It is an arithmetic number, because the mean of its divisors is an integer number (27185200).

Almost surely, 2^9620432640 is an apocalyptic number.

9620432640 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 9620432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23488012800).

9620432640 is an abundant number, since it is smaller than the sum of its proper divisors (37355592960).

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

9620432640 is a wasteful number, since it uses less digits than its factorization.

9620432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 9620432640 is about 98083.8041676606. The cubic root of 9620432640 is about 2126.8239115307.

The spelling of 9620432640 in words is "nine billion, six hundred twenty million, four hundred thirty-two thousand, six hundred forty".