64463436576 has 1152 divisors, whose sum is σ = 256991035392. Its totient is φ = 15396480000.

The previous prime is 64463436563. The next prime is 64463436629. The reversal of 64463436576 is 67563436446.

64463436576 is a `hidden beast` number, since 6 + 4 + 4 + 6 + 34 + 36 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 426910101 + ... + 426910251.

It is an arithmetic number, because the mean of its divisors is an integer number (223082496).

Almost surely, 2^64463436576 is an apocalyptic number.

64463436576 is a gapful number since it is divisible by the number (66) 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 64463436576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128495517696).

64463436576 is an abundant number, since it is smaller than the sum of its proper divisors (192527598816).

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

64463436576 is a wasteful number, since it uses less digits than its factorization.

64463436576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 228 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 54.

The spelling of 64463436576 in words is "sixty-four billion, four hundred sixty-three million, four hundred thirty-six thousand, five hundred seventy-six".