66913393135680 has 1344 divisors, whose sum is σ = 300591006363648. Its totient is φ = 13789602570240.

The previous prime is 66913393135657. The next prime is 66913393135789. The reversal of 66913393135680 is 8653139331966.

It is a happy number.

66913393135680 is a `hidden beast` number, since 6 + 6 + 9 + 1 + 3 + 39 + 31 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 304164925 + ... + 304384835.

It is an arithmetic number, because the mean of its divisors is an integer number (223654022592).

Almost surely, 2^{66913393135680} is an apocalyptic number.

66913393135680 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 66913393135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150295503181824).

66913393135680 is an abundant number, since it is smaller than the sum of its proper divisors (233677613227968).

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

66913393135680 is a wasteful number, since it uses less digits than its factorization.

66913393135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220006 (or 219984 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 66913393135680 in words is "sixty-six trillion, nine hundred thirteen billion, three hundred ninety-three million, one hundred thirty-five thousand, six hundred eighty".