64340377920 has 1792 divisors, whose sum is σ = 303141888000. Its totient is φ = 12469469184.

The previous prime is 64340377919. The next prime is 64340377943. The reversal of 64340377920 is 2977304346.

64340377920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 881375004 + ... + 881375076.

It is an arithmetic number, because the mean of its divisors is an integer number (169164000).

Almost surely, 2^64340377920 is an apocalyptic number.

64340377920 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 64340377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151570944000).

64340377920 is an abundant number, since it is smaller than the sum of its proper divisors (238801510080).

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

64340377920 is a wasteful number, since it uses less digits than its factorization.

64340377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 64340377920 in words is "sixty-four billion, three hundred forty million, three hundred seventy-seven thousand, nine hundred twenty".