64628341378560 has 800 divisors, whose sum is σ = 243455025952512. Its totient is φ = 16363510824960.

The previous prime is 64628341378541. The next prime is 64628341378561. The reversal of 64628341378560 is 6587314382646.

It is a happy number.

64628341378560 is a `hidden beast` number, since 6 + 4 + 6 + 2 + 8 + 34 + 1 + 37 + 8 + 560 = 666.

It is a super-3 number, since 3×64628341378560³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64628341378561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 340597632 + ... + 340787328.

Almost surely, 2^{64628341378560} is an apocalyptic number.

64628341378560 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 64628341378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121727512976256).

64628341378560 is an abundant number, since it is smaller than the sum of its proper divisors (178826684573952).

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

64628341378560 is a wasteful number, since it uses less digits than its factorization.

64628341378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189816 (or 189791 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 64628341378560 in words is "sixty-four trillion, six hundred twenty-eight billion, three hundred forty-one million, three hundred seventy-eight thousand, five hundred sixty".