64263852576 has 480 divisors, whose sum is σ = 237325334400. Its totient is φ = 16572211200.

The previous prime is 64263852547. The next prime is 64263852607. The reversal of 64263852576 is 67525836246.

64263852576 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 385 + 257 + 6 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29736936 + ... + 29739096.

It is an arithmetic number, because the mean of its divisors is an integer number (494427780).

Almost surely, 2^64263852576 is an apocalyptic number.

64263852576 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 64263852576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118662667200).

64263852576 is an abundant number, since it is smaller than the sum of its proper divisors (173061481824).

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

64263852576 is a wasteful number, since it uses less digits than its factorization.

64263852576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2333 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 64263852576 in words is "sixty-four billion, two hundred sixty-three million, eight hundred fifty-two thousand, five hundred seventy-six".