66962137860 has 240 divisors, whose sum is σ = 216944481600. Its totient is φ = 17279329536.

The previous prime is 66962137841. The next prime is 66962137901. The reversal of 66962137860 is 6873126966.

66962137860 is a `hidden beast` number, since 6 + 6 + 9 + 621 + 3 + 7 + 8 + 6 + 0 = 666.

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 = 66962137797 and 66962137806.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7588531 + ... + 7597349.

It is an arithmetic number, because the mean of its divisors is an integer number (903935340).

Almost surely, 2^66962137860 is an apocalyptic number.

66962137860 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 66962137860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108472240800).

66962137860 is an abundant number, since it is smaller than the sum of its proper divisors (149982343740).

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

66962137860 is a wasteful number, since it uses less digits than its factorization.

66962137860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8992 (or 8981 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 66962137860 in words is "sixty-six billion, nine hundred sixty-two million, one hundred thirty-seven thousand, eight hundred sixty".