62066045664 has 192 divisors, whose sum is σ = 207153676800. Its totient is φ = 17710285824.

The previous prime is 62066045663. The next prime is 62066045669. The reversal of 62066045664 is 46654066026.

62066045664 is a `hidden beast` number, since 6 + 20 + 6 + 60 + 4 + 566 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62066045663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4995492 + ... + 5007900.

It is an arithmetic number, because the mean of its divisors is an integer number (1078925400).

Almost surely, 2^62066045664 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 62066045664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103576838400).

62066045664 is an abundant number, since it is smaller than the sum of its proper divisors (145087631136).

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

62066045664 is a wasteful number, since it uses less digits than its factorization.

62066045664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13262 (or 13248 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 62066045664 in words is "sixty-two billion, sixty-six million, forty-five thousand, six hundred sixty-four".