527335121664 has 720 divisors, whose sum is σ = 1734522783840. Its totient is φ = 158376591360.

The previous prime is 527335121657. The next prime is 527335121693. The reversal of 527335121664 is 466121533725.

527335121664 is a `hidden beast` number, since 5 + 2 + 73 + 3 + 512 + 1 + 6 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3849161404 + ... + 3849161540.

It is an arithmetic number, because the mean of its divisors is an integer number (2409059422).

Almost surely, 2^527335121664 is an apocalyptic number.

527335121664 is a gapful number since it is divisible by the number (54) 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 527335121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867261391920).

527335121664 is an abundant number, since it is smaller than the sum of its proper divisors (1207187662176).

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

527335121664 is a wasteful number, since it uses less digits than its factorization.

527335121664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 395 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 527335121664 in words is "five hundred twenty-seven billion, three hundred thirty-five million, one hundred twenty-one thousand, six hundred sixty-four".