20732405760 has 768 divisors, whose sum is σ = 85338489600. Its totient is φ = 4718592000.

The previous prime is 20732405741. The next prime is 20732405761. The reversal of 20732405760 is 6750423702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20732405761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51701560 + ... + 51701960.

It is an arithmetic number, because the mean of its divisors is an integer number (111117825).

Almost surely, 2^20732405760 is an apocalyptic number.

20732405760 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 20732405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42669244800).

20732405760 is an abundant number, since it is smaller than the sum of its proper divisors (64606083840).

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

20732405760 is a wasteful number, since it uses less digits than its factorization.

20732405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 20732405760 in words is "twenty billion, seven hundred thirty-two million, four hundred five thousand, seven hundred sixty".