64301334900 has 144 divisors (see below), whose sum is σ = 203415105600. Its totient is φ = 15553126400.

The previous prime is 64301334859. The next prime is 64301334907. The reversal of 64301334900 is 943310346.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64301334907) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1460002 + ... + 1503398.

It is an arithmetic number, because the mean of its divisors is an integer number (1412604900).

Almost surely, 2^64301334900 is an apocalyptic number.

64301334900 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 64301334900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101707552800).

64301334900 is an abundant number, since it is smaller than the sum of its proper divisors (139113770700).

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

64301334900 is a wasteful number, since it uses less digits than its factorization.

64301334900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43874 (or 43867 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 64301334900 in words is "sixty-four billion, three hundred one million, three hundred thirty-four thousand, nine hundred".