64397446375680 has 864 divisors, whose sum is σ = 245529654814080. Its totient is φ = 15453789880320.

The previous prime is 64397446375663. The next prime is 64397446375681. The reversal of 64397446375680 is 8657364479346.

64397446375680 is a `hidden beast` number, since 6 + 4 + 3 + 97 + 4 + 463 + 75 + 6 + 8 + 0 = 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 = 64397446375599 and 64397446375608.

It is not an unprimeable number, because it can be changed into a prime (64397446375681) 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, 6217765062 + ... + 6217775418.

It is an arithmetic number, because the mean of its divisors is an integer number (284177841220).

Almost surely, 2^{64397446375680} is an apocalyptic number.

64397446375680 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 64397446375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122764827407040).

64397446375680 is an abundant number, since it is smaller than the sum of its proper divisors (181132208438400).

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

64397446375680 is a wasteful number, since it uses less digits than its factorization.

64397446375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10887 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 2194698240, while the sum is 72.

The spelling of 64397446375680 in words is "sixty-four trillion, three hundred ninety-seven billion, four hundred forty-six million, three hundred seventy-five thousand, six hundred eighty".