64768297621248 has 1080 divisors, whose sum is σ = 218998075273824. Its totient is φ = 18912267141120.

The previous prime is 64768297621213. The next prime is 64768297621249. The reversal of 64768297621248 is 84212679286746.

64768297621248 is a `hidden beast` number, since 6 + 4 + 76 + 8 + 297 + 6 + 21 + 248 = 666.

It is a super-2 number, since 2×64768297621248² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 (64768297621249) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16766318965 + ... + 16766322827.

Almost surely, 2^{64768297621248} 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 64768297621248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109499037636912).

64768297621248 is an abundant number, since it is smaller than the sum of its proper divisors (154229777652576).

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

64768297621248 is a wasteful number, since it uses less digits than its factorization.

64768297621248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4023 (or 3959 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 64768297621248 in words is "sixty-four trillion, seven hundred sixty-eight billion, two hundred ninety-seven million, six hundred twenty-one thousand, two hundred forty-eight".