256467070080 has 384 divisors, whose sum is σ = 1009844100720. Its totient is φ = 59416510464.

The previous prime is 256467070073. The next prime is 256467070091. The reversal of 256467070080 is 80070764652.

256467070080 is a `hidden beast` number, since 2 + 564 + 6 + 7 + 0 + 7 + 0 + 0 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 48509181504 + 207957888576 = 220248^2 + 456024^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1172224 + ... + 1373696.

Almost surely, 2^256467070080 is an apocalyptic number.

256467070080 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 256467070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504922050360).

256467070080 is an abundant number, since it is smaller than the sum of its proper divisors (753377030640).

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

256467070080 is a wasteful number, since it uses less digits than its factorization.

256467070080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201528 (or 201513 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 256467070080 in words is "two hundred fifty-six billion, four hundred sixty-seven million, seventy thousand, eighty".