64005555600 has 720 divisors, whose sum is σ = 260321338368. Its totient is φ = 14262082560.

The previous prime is 64005555587. The next prime is 64005555613. The reversal of 64005555600 is 655550046.

It is a happy number.

64005555600 is a `hidden beast` number, since 6 + 40 + 0 + 5 + 5 + 5 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (64005555587) and next prime (64005555613).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×64005555600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 281962687 + ... + 281962913.

Almost surely, 2^64005555600 is an apocalyptic number.

64005555600 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 64005555600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130160669184).

64005555600 is an abundant number, since it is smaller than the sum of its proper divisors (196315782768).

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

64005555600 is a wasteful number, since it uses less digits than its factorization.

64005555600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 64005555600 in words is "sixty-four billion, five million, five hundred fifty-five thousand, six hundred".