20773586064 has 240 divisors, whose sum is σ = 69945719616. Its totient is φ = 5249664000.

The previous prime is 20773586047. The next prime is 20773586123. The reversal of 20773586064 is 46068537702.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 946414 + ... + 968114.

Almost surely, 2^20773586064 is an apocalyptic number.

20773586064 is a gapful number since it is divisible by the number (24) 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 20773586064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34972859808).

20773586064 is an abundant number, since it is smaller than the sum of its proper divisors (49172133552).

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

20773586064 is a wasteful number, since it uses less digits than its factorization.

20773586064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21774 (or 21761 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 20773586064 in words is "twenty billion, seven hundred seventy-three million, five hundred eighty-six thousand, sixty-four".