9782624064 has 112 divisors (see below), whose sum is σ = 26213507136. Its totient is φ = 3219456000.

The previous prime is 9782624021. The next prime is 9782624081. The reversal of 9782624064 is 4604262879.

9782624064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12429879 + ... + 12430665.

Almost surely, 2^9782624064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9782624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13106753568).

9782624064 is an abundant number, since it is smaller than the sum of its proper divisors (16430883072).

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

9782624064 is a wasteful number, since it uses less digits than its factorization.

9782624064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 9782624064 is about 98907.1487001824. The cubic root of 9782624064 is about 2138.7094486777.

The spelling of 9782624064 in words is "nine billion, seven hundred eighty-two million, six hundred twenty-four thousand, sixty-four".