20673354240 has 960 divisors, whose sum is σ = 91677560832. Its totient is φ = 4180377600.

The previous prime is 20673354227. The next prime is 20673354253. The reversal of 20673354240 is 4245337602.

20673354240 is a `hidden beast` number, since 2 + 0 + 6 + 73 + 3 + 542 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (20673354227) and next prime (20673354253).

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 20673354195 and 20673354204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76285305 + ... + 76285575.

Almost surely, 2^20673354240 is an apocalyptic number.

20673354240 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 20673354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45838780416).

20673354240 is an abundant number, since it is smaller than the sum of its proper divisors (71004206592).

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

20673354240 is a wasteful number, since it uses less digits than its factorization.

20673354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 20673354240 in words is "twenty billion, six hundred seventy-three million, three hundred fifty-four thousand, two hundred forty".