20677446720 has 280 divisors, whose sum is σ = 84061669824. Its totient is φ = 4726232064.

The previous prime is 20677446701. The next prime is 20677446739. The reversal of 20677446720 is 2764477602.

It is an interprime number because it is at equal distance from previous prime (20677446701) and next prime (20677446739).

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-3 number, since 3×20677446720³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 124459 + ... + 238421.

Almost surely, 2^20677446720 is an apocalyptic number.

20677446720 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 20677446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42030834912).

20677446720 is an abundant number, since it is smaller than the sum of its proper divisors (63384223104).

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

20677446720 is a wasteful number, since it uses less digits than its factorization.

20677446720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113999 (or 113980 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 20677446720 in words is "twenty billion, six hundred seventy-seven million, four hundred forty-six thousand, seven hundred twenty".