64601146200 has 192 divisors, whose sum is σ = 201947074560. Its totient is φ = 17082795520.

The previous prime is 64601146193. The next prime is 64601146249. The reversal of 64601146200 is 264110646.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45269887 + ... + 45271313.

It is an arithmetic number, because the mean of its divisors is an integer number (1051807680).

Almost surely, 2^64601146200 is an apocalyptic number.

64601146200 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 64601146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100973537280).

64601146200 is an abundant number, since it is smaller than the sum of its proper divisors (137345928360).

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

64601146200 is a wasteful number, since it uses less digits than its factorization.

64601146200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 64601146200 its reverse (264110646), we get a palindrome (64865256846).

The spelling of 64601146200 in words is "sixty-four billion, six hundred one million, one hundred forty-six thousand, two hundred".