64540349153280 has 4860 divisors, whose sum is σ = 317678427107496. Its totient is φ = 11980033228800.

The previous prime is 64540349153261. The next prime is 64540349153281. The reversal of 64540349153280 is 8235194304546.

It is a happy number.

64540349153280 is a `hidden beast` number, since 6 + 4 + 5 + 4 + 0 + 349 + 15 + 3 + 280 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64540349153281) by changing a digit.

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 323 ways as a sum of consecutive naturals, for example, 2081946746865 + ... + 2081946746895.

Almost surely, 2^{64540349153280} is an apocalyptic number.

64540349153280 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 64540349153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158839213553748).

64540349153280 is an abundant number, since it is smaller than the sum of its proper divisors (253138077954216).

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

64540349153280 is a wasteful number, since it uses less digits than its factorization.

64540349153280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 64540349153280 in words is "sixty-four trillion, five hundred forty billion, three hundred forty-nine million, one hundred fifty-three thousand, two hundred eighty".