10643619840 has 480 divisors, whose sum is σ = 40767390720. Its totient is φ = 2318401536.

The previous prime is 10643619827. The next prime is 10643619871. The reversal of 10643619840 is 4891634601.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10643619840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10643619792 and 10643619801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39567226 + ... + 39567494.

It is an arithmetic number, because the mean of its divisors is an integer number (84932064).

Almost surely, 2^10643619840 is an apocalyptic number.

10643619840 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 10643619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20383695360).

10643619840 is an abundant number, since it is smaller than the sum of its proper divisors (30123770880).

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

10643619840 is an equidigital number, since it uses as much as digits as its factorization.

10643619840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 10643619840 in words is "ten billion, six hundred forty-three million, six hundred nineteen thousand, eight hundred forty".