64241946000 has 480 divisors, whose sum is σ = 239338476000. Its totient is φ = 16003891200.

The previous prime is 64241945981. The next prime is 64241946019. The reversal of 64241946000 is 64914246.

64241946000 is a `hidden beast` number, since 6 + 4 + 2 + 41 + 9 + 4 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64241945981) and next prime (64241946019).

It can be written as a sum of positive squares in 16 ways, for example, as 62486000784 + 1755945216 = 249972^2 + 41904^2 .

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45593296 + ... + 45594704.

It is an arithmetic number, because the mean of its divisors is an integer number (498621825).

Almost surely, 2^64241946000 is an apocalyptic number.

64241946000 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 64241946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119669238000).

64241946000 is an abundant number, since it is smaller than the sum of its proper divisors (175096530000).

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

64241946000 is a wasteful number, since it uses less digits than its factorization.

64241946000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 64241946000 in words is "sixty-four billion, two hundred forty-one million, nine hundred forty-six thousand".