64650700800 has 1440 divisors, whose sum is σ = 291969437760. Its totient is φ = 13801881600.

The previous prime is 64650700739. The next prime is 64650700823. The reversal of 64650700800 is 800705646.

It is a happy number.

64650700800 is a `hidden beast` number, since 646 + 5 + 0 + 7 + 0 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×64650700800² (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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 493516735 + ... + 493516865.

It is an arithmetic number, because the mean of its divisors is an integer number (202756554).

Almost surely, 2^64650700800 is an apocalyptic number.

64650700800 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 64650700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145984718880).

64650700800 is an abundant number, since it is smaller than the sum of its proper divisors (227318736960).

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

64650700800 is a wasteful number, since it uses less digits than its factorization.

64650700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 64650700800 in words is "sixty-four billion, six hundred fifty million, seven hundred thousand, eight hundred".