64865608496640 has 3840 divisors, whose sum is σ = 296505822412800. Its totient is φ = 13249742635008.

The previous prime is 64865608496581. The next prime is 64865608496651. The reversal of 64865608496640 is 4669480656846.

64865608496640 is a `hidden beast` number, since 6 + 4 + 8 + 6 + 5 + 608 + 4 + 9 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 169361901889 + ... + 169361902271.

It is an arithmetic number, because the mean of its divisors is an integer number (77215057920).

Almost surely, 2^{64865608496640} is an apocalyptic number.

64865608496640 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 64865608496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148252911206400).

64865608496640 is an abundant number, since it is smaller than the sum of its proper divisors (231640213916160).

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

64865608496640 is a wasteful number, since it uses less digits than its factorization.

64865608496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 1433272320, while the sum is 72.

The spelling of 64865608496640 in words is "sixty-four trillion, eight hundred sixty-five billion, six hundred eight million, four hundred ninety-six thousand, six hundred forty".