64347354720 has 1152 divisors, whose sum is σ = 269878210560. Its totient is φ = 14301619200.

The previous prime is 64347354677. The next prime is 64347354737. The reversal of 64347354720 is 2745374346.

64347354720 is a `hidden beast` number, since 6 + 4 + 34 + 73 + 547 + 2 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 2075721105 + ... + 2075721135.

It is an arithmetic number, because the mean of its divisors is an integer number (234269280).

Almost surely, 2^64347354720 is an apocalyptic number.

64347354720 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 64347354720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134939105280).

64347354720 is an abundant number, since it is smaller than the sum of its proper divisors (205530855840).

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

64347354720 is a wasteful number, since it uses less digits than its factorization.

64347354720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 64347354720 in words is "sixty-four billion, three hundred forty-seven million, three hundred fifty-four thousand, seven hundred twenty".