10258663464 has 768 divisors, whose sum is σ = 38211264000. Its totient is φ = 2415329280.

The previous prime is 10258663463. The next prime is 10258663469. The reversal of 10258663464 is 46436685201.

10258663464 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 8 + 6 + 634 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (10258663463) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 193559662 + ... + 193559714.

It is an arithmetic number, because the mean of its divisors is an integer number (49754250).

Almost surely, 2^10258663464 is an apocalyptic number.

10258663464 is a gapful number since it is divisible by the number (14) 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 10258663464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19105632000).

10258663464 is an abundant number, since it is smaller than the sum of its proper divisors (27952600536).

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

10258663464 is a wasteful number, since it uses less digits than its factorization.

10258663464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 10258663464 in words is "ten billion, two hundred fifty-eight million, six hundred sixty-three thousand, four hundred sixty-four".