10319596784640 has 1584 divisors, whose sum is σ = 43902603841824. Its totient is φ = 2308842455040.

The previous prime is 10319596784621. The next prime is 10319596784723. The reversal of 10319596784640 is 4648769591301.

10319596784640 is a `hidden beast` number, since 1 + 0 + 3 + 19 + 5 + 96 + 78 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1957061044 + ... + 1957066316.

Almost surely, 2^{10319596784640} is an apocalyptic number.

10319596784640 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 10319596784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21951301920912).

10319596784640 is an abundant number, since it is smaller than the sum of its proper divisors (33583007057184).

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

10319596784640 is a wasteful number, since it uses less digits than its factorization.

10319596784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5348 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 10319596784640 in words is "ten trillion, three hundred nineteen billion, five hundred ninety-six million, seven hundred eighty-four thousand, six hundred forty".