68130526464 has 1152 divisors, whose sum is σ = 278010163200. Its totient is φ = 15885434880.

The previous prime is 68130526463. The next prime is 68130526531. The reversal of 68130526464 is 46462503186.

68130526464 is a `hidden beast` number, since 6 + 8 + 130 + 52 + 6 + 464 = 666.

68130526464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68130526463) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 297513102 + ... + 297513330.

Almost surely, 2^68130526464 is an apocalyptic number.

68130526464 is a gapful number since it is divisible by the number (64) 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 68130526464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139005081600).

68130526464 is an abundant number, since it is smaller than the sum of its proper divisors (209879636736).

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

68130526464 is a wasteful number, since it uses less digits than its factorization.

68130526464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 308 counting only the distinct ones).

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

The spelling of 68130526464 in words is "sixty-eight billion, one hundred thirty million, five hundred twenty-six thousand, four hundred sixty-four".