66142494720 has 672 divisors, whose sum is σ = 248418705600. Its totient is φ = 16228810752.

The previous prime is 66142494713. The next prime is 66142494721. The reversal of 66142494720 is 2749424166.

66142494720 is a `hidden beast` number, since 6 + 614 + 2 + 4 + 9 + 4 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66142494721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245882746 + ... + 245883014.

Almost surely, 2^66142494720 is an apocalyptic number.

66142494720 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 66142494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124209352800).

66142494720 is an abundant number, since it is smaller than the sum of its proper divisors (182276210880).

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

66142494720 is a wasteful number, since it uses less digits than its factorization.

66142494720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 66142494720 in words is "sixty-six billion, one hundred forty-two million, four hundred ninety-four thousand, seven hundred twenty".