10328867640 has 576 divisors, whose sum is σ = 42205363200. Its totient is φ = 2144683008.

The previous prime is 10328867629. The next prime is 10328867693. The reversal of 10328867640 is 4676882301.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33644367 + ... + 33644673.

It is an arithmetic number, because the mean of its divisors is an integer number (73273200).

Almost surely, 2^10328867640 is an apocalyptic number.

10328867640 is a gapful number since it is divisible by the number (10) 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 10328867640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21102681600).

10328867640 is an abundant number, since it is smaller than the sum of its proper divisors (31876495560).

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

10328867640 is a wasteful number, since it uses less digits than its factorization.

10328867640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10328867640 in words is "ten billion, three hundred twenty-eight million, eight hundred sixty-seven thousand, six hundred forty".