20339383680 has 768 divisors, whose sum is σ = 88521638400. Its totient is φ = 4215214080.

The previous prime is 20339383657. The next prime is 20339383693. The reversal of 20339383680 is 8638393302.

20339383680 is a `hidden beast` number, since 203 + 3 + 9 + 383 + 68 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 53665731 + ... + 53666109.

It is an arithmetic number, because the mean of its divisors is an integer number (115262550).

Almost surely, 2^20339383680 is an apocalyptic number.

20339383680 is a gapful number since it is divisible by the number (20) 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 20339383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44260819200).

20339383680 is an abundant number, since it is smaller than the sum of its proper divisors (68182254720).

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

20339383680 is a wasteful number, since it uses less digits than its factorization.

20339383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 20339383680 in words is "twenty billion, three hundred thirty-nine million, three hundred eighty-three thousand, six hundred eighty".