9504062640 has 160 divisors (see below), whose sum is σ = 32976192960. Its totient is φ = 2515838976.

The previous prime is 9504062621. The next prime is 9504062641. The reversal of 9504062640 is 462604059.

9504062640 is a `hidden beast` number, since 9 + 5 + 0 + 4 + 0 + 6 + 2 + 640 = 666.

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 = 9504062595 and 9504062604.

It is not an unprimeable number, because it can be changed into a prime (9504062641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279862 + ... + 311978.

It is an arithmetic number, because the mean of its divisors is an integer number (206101206).

Almost surely, 2^9504062640 is an apocalyptic number.

9504062640 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 9504062640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16488096480).

9504062640 is an abundant number, since it is smaller than the sum of its proper divisors (23472130320).

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

9504062640 is a wasteful number, since it uses less digits than its factorization.

9504062640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32276 (or 32264 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 9504062640 is about 97488.7821238936. The cubic root of 9504062640 is about 2118.2136548264.

Adding to 9504062640 its reverse (462604059), we get a palindrome (9966666699).

The spelling of 9504062640 in words is "nine billion, five hundred four million, sixty-two thousand, six hundred forty".