9828752640 has 576 divisors, whose sum is σ = 38506212864. Its totient is φ = 2085617664.

The previous prime is 9828752603. The next prime is 9828752653. The reversal of 9828752640 is 462578289.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62603442 + ... + 62603598.

It is an arithmetic number, because the mean of its divisors is an integer number (66851064).

Almost surely, 2^9828752640 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 9828752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19253106432).

9828752640 is an abundant number, since it is smaller than the sum of its proper divisors (28677460224).

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

9828752640 is a wasteful number, since it uses less digits than its factorization.

9828752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 9828752640 is about 99140.0657655622. The cubic root of 9828752640 is about 2142.0657724383.

The spelling of 9828752640 in words is "nine billion, eight hundred twenty-eight million, seven hundred fifty-two thousand, six hundred forty".