20321974689660 has 1152 divisors, whose sum is σ = 76892353574400. Its totient is φ = 4335748300800.

The previous prime is 20321974689647. The next prime is 20321974689661. The reversal of 20321974689660 is 6698647912302.

20321974689660 is a `hidden beast` number, since 2 + 0 + 3 + 21 + 9 + 7 + 468 + 96 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20321974689661) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5713232602 + ... + 5713236158.

It is an arithmetic number, because the mean of its divisors is an integer number (66746834700).

Almost surely, 2^{20321974689660} is an apocalyptic number.

20321974689660 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 20321974689660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38446176787200).

20321974689660 is an abundant number, since it is smaller than the sum of its proper divisors (56570378884740).

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

20321974689660 is a wasteful number, since it uses less digits than its factorization.

20321974689660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 20321974689660 in words is "twenty trillion, three hundred twenty-one billion, nine hundred seventy-four million, six hundred eighty-nine thousand, six hundred sixty".