64748673211068 has 288 divisors, whose sum is σ = 216484302827520. Its totient is φ = 15797449451520.

The previous prime is 64748673211039. The next prime is 64748673211069. The reversal of 64748673211068 is 86011237684746.

64748673211068 is a `hidden beast` number, since 6 + 4 + 7 + 486 + 7 + 32 + 110 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 64748673210996 and 64748673211014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64748673211069) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22636405 + ... + 25335827.

It is an arithmetic number, because the mean of its divisors is an integer number (751681607040).

Almost surely, 2^{64748673211068} is an apocalyptic number.

64748673211068 is a gapful number since it is divisible by the number (68) 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 64748673211068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108242151413760).

64748673211068 is an abundant number, since it is smaller than the sum of its proper divisors (151735629616452).

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

64748673211068 is a wasteful number, since it uses less digits than its factorization.

64748673211068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699977 (or 2699972 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 64748673211068 in words is "sixty-four trillion, seven hundred forty-eight billion, six hundred seventy-three million, two hundred eleven thousand, sixty-eight".