64475611296768 has 704 divisors, whose sum is σ = 226525199155200. Its totient is φ = 17727468503040.

The previous prime is 64475611296749. The next prime is 64475611296797. The reversal of 64475611296768 is 86769211657446.

64475611296768 is a `hidden beast` number, since 6 + 4 + 47 + 561 + 12 + 9 + 6 + 7 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 64475611296696 and 64475611296705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1073901246 + ... + 1073961282.

It is an arithmetic number, because the mean of its divisors is an integer number (321768748800).

Almost surely, 2^{64475611296768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64475611296768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113262599577600).

64475611296768 is an abundant number, since it is smaller than the sum of its proper divisors (162049587858432).

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

64475611296768 is a wasteful number, since it uses less digits than its factorization.

64475611296768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60283 (or 60259 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 64475611296768 in words is "sixty-four trillion, four hundred seventy-five billion, six hundred eleven million, two hundred ninety-six thousand, seven hundred sixty-eight".