256779694080 has 1560 divisors, whose sum is σ = 1157887230192. Its totient is φ = 54177693696.

The previous prime is 256779694057. The next prime is 256779694123. The reversal of 256779694080 is 80496977652.

256779694080 is a `hidden beast` number, since 2 + 567 + 7 + 9 + 69 + 4 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a super-2 number, since 2×256779694080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 256779693999 and 256779694017.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19752284154 + ... + 19752284166.

Almost surely, 2^256779694080 is an apocalyptic number.

256779694080 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 256779694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578943615096).

256779694080 is an abundant number, since it is smaller than the sum of its proper divisors (901107536112).

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

256779694080 is an frugal number, since it uses more digits than its factorization.

256779694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 256779694080 in words is "two hundred fifty-six billion, seven hundred seventy-nine million, six hundred ninety-four thousand, eighty".