64106380800 has 1800 divisors, whose sum is σ = 302131526928. Its totient is φ = 13138329600.

The previous prime is 64106380787. The next prime is 64106380813. The reversal of 64106380800 is 808360146.

It is a happy number.

64106380800 is a `hidden beast` number, since 6 + 4 + 10 + 638 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64106380787) and next prime (64106380813).

It is a tau number, because it is divible by the number of its divisors (1800).

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

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 179 ways as a sum of consecutive naturals, for example, 878169564 + ... + 878169636.

Almost surely, 2^64106380800 is an apocalyptic number.

64106380800 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 64106380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151065763464).

64106380800 is an abundant number, since it is smaller than the sum of its proper divisors (238025146128).

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

64106380800 is a wasteful number, since it uses less digits than its factorization.

64106380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 64106380800 in words is "sixty-four billion, one hundred six million, three hundred eighty thousand, eight hundred".