64913844695040 has 1248 divisors, whose sum is σ = 254482069083840. Its totient is φ = 15160836096000.

The previous prime is 64913844695009. The next prime is 64913844695071. The reversal of 64913844695040 is 4059644831946.

It is a happy number.

64913844695040 is a `hidden beast` number, since 6 + 4 + 9 + 1 + 3 + 84 + 46 + 9 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64913844695009) and next prime (64913844695071).

It is a congruent number.

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, 36043222140 + ... + 36043223940.

It is an arithmetic number, because the mean of its divisors is an integer number (203911914330).

Almost surely, 2^{64913844695040} is an apocalyptic number.

64913844695040 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 64913844695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127241034541920).

64913844695040 is an abundant number, since it is smaller than the sum of its proper divisors (189568224388800).

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

64913844695040 is a wasteful number, since it uses less digits than its factorization.

64913844695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 64913844695040 in words is "sixty-four trillion, nine hundred thirteen billion, eight hundred forty-four million, six hundred ninety-five thousand, forty".