62666472960 has 1440 divisors, whose sum is σ = 284140688832. Its totient is φ = 12899450880.

The previous prime is 62666472949. The next prime is 62666473021. The reversal of 62666472960 is 6927466626.

62666472960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×62666472960² (a number of 22 digits) contains 22 as substring.

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 62666472897 and 62666472906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1528450540 + ... + 1528450580.

Almost surely, 2^62666472960 is an apocalyptic number.

62666472960 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 62666472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142070344416).

62666472960 is an abundant number, since it is smaller than the sum of its proper divisors (221474215872).

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

62666472960 is an frugal number, since it uses more digits than its factorization.

62666472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 62666472960 in words is "sixty-two billion, six hundred sixty-six million, four hundred seventy-two thousand, nine hundred sixty".