526668678432 has 576 divisors, whose sum is σ = 1805482224000. Its totient is φ = 143866036224.

The previous prime is 526668678409. The next prime is 526668678457. The reversal of 526668678432 is 234876866625.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 526668678432.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325304119 + ... + 325305737.

It is an arithmetic number, because the mean of its divisors is an integer number (3134517750).

Almost surely, 2^526668678432 is an apocalyptic number.

526668678432 is a gapful number since it is divisible by the number (52) 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 526668678432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902741112000).

526668678432 is an abundant number, since it is smaller than the sum of its proper divisors (1278813545568).

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

526668678432 is a wasteful number, since it uses less digits than its factorization.

526668678432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1942 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 526668678432 in words is "five hundred twenty-six billion, six hundred sixty-eight million, six hundred seventy-eight thousand, four hundred thirty-two".