64476427523328 has 432 divisors, whose sum is σ = 198884375975376. Its totient is φ = 20017682841600.

The previous prime is 64476427523297. The next prime is 64476427523329. The reversal of 64476427523328 is 82332572467446.

64476427523328 is a `hidden beast` number, since 6 + 4 + 4 + 7 + 64 + 27 + 523 + 3 + 28 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5125551105024 + 59350876418304 = 2263968^2 + 7703952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64476427523329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15004984476 + ... + 15004988772.

It is an arithmetic number, because the mean of its divisors is an integer number (460380499943).

Almost surely, 2^{64476427523328} is an apocalyptic number.

64476427523328 is a gapful number since it is divisible by the number (68) 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 64476427523328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99442187987688).

64476427523328 is an abundant number, since it is smaller than the sum of its proper divisors (134407948452048).

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

64476427523328 is a wasteful number, since it uses less digits than its factorization.

64476427523328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8230 (or 8213 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 63.

The spelling of 64476427523328 in words is "sixty-four trillion, four hundred seventy-six billion, four hundred twenty-seven million, five hundred twenty-three thousand, three hundred twenty-eight".