66962627424 has 504 divisors, whose sum is σ = 248371658640. Its totient is φ = 17387758080.

The previous prime is 66962627357. The next prime is 66962627471. The reversal of 66962627424 is 42472626966.

66962627424 is a `hidden beast` number, since 6 + 6 + 9 + 6 + 2 + 627 + 4 + 2 + 4 = 666.

66962627424 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 (504).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19757122 + ... + 19760510.

It is an arithmetic number, because the mean of its divisors is an integer number (492800910).

Almost surely, 2^66962627424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66962627424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124185829320).

66962627424 is an abundant number, since it is smaller than the sum of its proper divisors (181409031216).

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

66962627424 is a wasteful number, since it uses less digits than its factorization.

66962627424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 3412 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 66962627424 in words is "sixty-six billion, nine hundred sixty-two million, six hundred twenty-seven thousand, four hundred twenty-four".