66462808474944 has 224 divisors, whose sum is σ = 223405942214400. Its totient is φ = 18980447109120.

The previous prime is 66462808474939. The next prime is 66462808474949. The reversal of 66462808474944 is 44947480826466.

66462808474944 is a `hidden beast` number, since 6 + 6 + 4 + 62 + 8 + 0 + 8 + 474 + 94 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (66462808474939) and next prime (66462808474949).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66462808474949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24461964 + ... + 27042804.

Almost surely, 2^{66462808474944} is an apocalyptic number.

66462808474944 is a gapful number since it is divisible by the number (64) 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 66462808474944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111702971107200).

66462808474944 is an abundant number, since it is smaller than the sum of its proper divisors (156943133739456).

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

66462808474944 is a wasteful number, since it uses less digits than its factorization.

66462808474944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582998 (or 2582982 counting only the distinct ones).

The product of its (nonzero) digits is 1783627776, while the sum is 72.

The spelling of 66462808474944 in words is "sixty-six trillion, four hundred sixty-two billion, eight hundred eight million, four hundred seventy-four thousand, nine hundred forty-four".