20364756720 has 240 divisors, whose sum is σ = 80114479488. Its totient is φ = 4231610880.

The previous prime is 20364756697. The next prime is 20364756721. The reversal of 20364756720 is 2765746302.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20364756721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 50647 + ... + 208073.

Almost surely, 2^20364756720 is an apocalyptic number.

20364756720 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 20364756720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40057239744).

20364756720 is an abundant number, since it is smaller than the sum of its proper divisors (59749722768).

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

20364756720 is a wasteful number, since it uses less digits than its factorization.

20364756720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157468 (or 157455 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 20364756720 in words is "twenty billion, three hundred sixty-four million, seven hundred fifty-six thousand, seven hundred twenty".