256673940480 has 264 divisors, whose sum is σ = 922312564992. Its totient is φ = 68446052352.

The previous prime is 256673940407. The next prime is 256673940493. The reversal of 256673940480 is 84049376652.

256673940480 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 73 + 94 + 0 + 480 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1141009 + ... + 1347311.

Almost surely, 2^256673940480 is an apocalyptic number.

256673940480 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 256673940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461156282496).

256673940480 is an abundant number, since it is smaller than the sum of its proper divisors (665638624512).

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

256673940480 is an equidigital number, since it uses as much as digits as its factorization.

256673940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206343 (or 206313 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 256673940480 in words is "two hundred fifty-six billion, six hundred seventy-three million, nine hundred forty thousand, four hundred eighty".