64642043542464 has 224 divisors, whose sum is σ = 190617424200000. Its totient is φ = 21481406005248.

The previous prime is 64642043542339. The next prime is 64642043542541. The reversal of 64642043542464 is 46424534024646.

64642043542464 is a `hidden beast` number, since 6 + 4 + 6 + 4 + 204 + 3 + 5 + 424 + 6 + 4 = 666.

64642043542464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 64642043542464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5336578072 + ... + 5336590184.

It is an arithmetic number, because the mean of its divisors is an integer number (850970643750).

Almost surely, 2^{64642043542464} is an apocalyptic number.

64642043542464 is a gapful number since it is divisible by the number (64) 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 64642043542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95308712100000).

64642043542464 is an abundant number, since it is smaller than the sum of its proper divisors (125975380657536).

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

64642043542464 is a wasteful number, since it uses less digits than its factorization.

64642043542464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21332 (or 21316 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 54.

The spelling of 64642043542464 in words is "sixty-four trillion, six hundred forty-two billion, forty-three million, five hundred forty-two thousand, four hundred sixty-four".