258784100640 has 960 divisors, whose sum is σ = 1018389135456. Its totient is φ = 61487382528.

The previous prime is 258784100593. The next prime is 258784100647. The reversal of 258784100640 is 46001487852.

258784100640 is a `hidden beast` number, since 2 + 587 + 8 + 4 + 1 + 0 + 0 + 64 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 32387041296 + 226397059344 = 179964^2 + 475812^2 .

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

It is not an unprimeable number, because it can be changed into a prime (258784100647) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 651848922 + ... + 651849318.

Almost surely, 2^258784100640 is an apocalyptic number.

258784100640 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 258784100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509194567728).

258784100640 is an abundant number, since it is smaller than the sum of its proper divisors (759605034816).

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

258784100640 is a wasteful number, since it uses less digits than its factorization.

258784100640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 258784100640 in words is "two hundred fifty-eight billion, seven hundred eighty-four million, one hundred thousand, six hundred forty".