20670007680 has 448 divisors, whose sum is σ = 84684765600. Its totient is φ = 4723826688.

The previous prime is 20670007621. The next prime is 20670007697. The reversal of 20670007680 is 8670007602.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3262756 + ... + 3269084.

Almost surely, 2^20670007680 is an apocalyptic number.

20670007680 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 20670007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42342382800).

20670007680 is an abundant number, since it is smaller than the sum of its proper divisors (64014757920).

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

20670007680 is an frugal number, since it uses more digits than its factorization.

20670007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 20670007680 in words is "twenty billion, six hundred seventy million, seven thousand, six hundred eighty".