62066964960 has 1536 divisors, whose sum is σ = 301730365440. Its totient is φ = 11496038400.

The previous prime is 62066964923. The next prime is 62066964977. The reversal of 62066964960 is 6946966026.

It is a happy number.

62066964960 is a `hidden beast` number, since 6 + 2 + 0 + 66 + 96 + 496 + 0 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 62066964897 and 62066964906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 134053689 + ... + 134054151.

It is an arithmetic number, because the mean of its divisors is an integer number (196439040).

Almost surely, 2^62066964960 is an apocalyptic number.

62066964960 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 62066964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150865182720).

62066964960 is an abundant number, since it is smaller than the sum of its proper divisors (239663400480).

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

62066964960 is a wasteful number, since it uses less digits than its factorization.

62066964960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 62066964960 in words is "sixty-two billion, sixty-six million, nine hundred sixty-four thousand, nine hundred sixty".