64009386000 has 960 divisors, whose sum is σ = 282620482560. Its totient is φ = 13760409600.

The previous prime is 64009385987. The next prime is 64009386011. The reversal of 64009386000 is 68390046.

64009386000 is a `hidden beast` number, since 6 + 40 + 0 + 9 + 3 + 8 + 600 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 44981289 + ... + 44982711.

It is an arithmetic number, because the mean of its divisors is an integer number (294396336).

Almost surely, 2^64009386000 is an apocalyptic number.

64009386000 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 64009386000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141310241280).

64009386000 is an abundant number, since it is smaller than the sum of its proper divisors (218611096560).

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

64009386000 is a wasteful number, since it uses less digits than its factorization.

64009386000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 64009386000 in words is "sixty-four billion, nine million, three hundred eighty-six thousand".