64678424458752 has 1600 divisors, whose sum is σ = 228436888103424. Its totient is φ = 18029928775680.

The previous prime is 64678424458751. The next prime is 64678424458757. The reversal of 64678424458752 is 25785442487646.

64678424458752 is a `hidden beast` number, since 6 + 4 + 6 + 7 + 84 + 24 + 458 + 75 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64678424458751) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 66201048088 + ... + 66201049064.

Almost surely, 2^{64678424458752} is an apocalyptic number.

64678424458752 is a gapful number since it is divisible by the number (62) 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 64678424458752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114218444051712).

64678424458752 is an abundant number, since it is smaller than the sum of its proper divisors (163758463644672).

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

64678424458752 is a wasteful number, since it uses less digits than its factorization.

64678424458752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1276 counting only the distinct ones).

The product of its digits is 2890137600, while the sum is 72.

The spelling of 64678424458752 in words is "sixty-four trillion, six hundred seventy-eight billion, four hundred twenty-four million, four hundred fifty-eight thousand, seven hundred fifty-two".