64086681600 has 1008 divisors, whose sum is σ = 254746624860. Its totient is φ = 15925248000.

The previous prime is 64086681553. The next prime is 64086681619. The reversal of 64086681600 is 618668046.

It can be written as a sum of positive squares in 6 ways, for example, as 50075698176 + 14010983424 = 223776^2 + 118368^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 83 ways as a sum of consecutive naturals, for example, 634521550 + ... + 634521650.

Almost surely, 2^64086681600 is an apocalyptic number.

64086681600 is a gapful number since it is divisible by the number (60) 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 64086681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127373312430).

64086681600 is an abundant number, since it is smaller than the sum of its proper divisors (190659943260).

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

64086681600 is a wasteful number, since it uses less digits than its factorization.

64086681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 64086681600 in words is "sixty-four billion, eighty-six million, six hundred eighty-one thousand, six hundred".