1639709924864 has 480 divisors, whose sum is σ = 3981178688256. Its totient is φ = 666624000000.

The previous prime is 1639709924861. The next prime is 1639709924873. The reversal of 1639709924864 is 4684299079361.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 1639709924794 and 1639709924803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1639709924861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6532708739 + ... + 6532708989.

Almost surely, 2^{1639709924864} 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 1639709924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990589344128).

1639709924864 is an abundant number, since it is smaller than the sum of its proper divisors (2341468763392).

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

1639709924864 is a wasteful number, since it uses less digits than its factorization.

1639709924864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 68.

The spelling of 1639709924864 in words is "one trillion, six hundred thirty-nine billion, seven hundred nine million, nine hundred twenty-four thousand, eight hundred sixty-four".