64640689695360 has 768 divisors, whose sum is σ = 239040044006400. Its totient is φ = 16060164341760.

The previous prime is 64640689695289. The next prime is 64640689695409. The reversal of 64640689695360 is 6359698604646.

64640689695360 is a `hidden beast` number, since 6 + 4 + 6 + 4 + 0 + 6 + 89 + 6 + 9 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1827901039 + ... + 1827936401.

It is an arithmetic number, because the mean of its divisors is an integer number (311250057300).

Almost surely, 2^{64640689695360} is an apocalyptic number.

64640689695360 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 64640689695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119520022003200).

64640689695360 is an abundant number, since it is smaller than the sum of its proper divisors (174399354311040).

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

64640689695360 is a wasteful number, since it uses less digits than its factorization.

64640689695360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35801 (or 35786 counting only the distinct ones).

The product of its (nonzero) digits is 1209323520, while the sum is 72.

The spelling of 64640689695360 in words is "sixty-four trillion, six hundred forty billion, six hundred eighty-nine million, six hundred ninety-five thousand, three hundred sixty".