66546712920240 has 800 divisors, whose sum is σ = 280834347594240. Its totient is φ = 14315891208192.

The previous prime is 66546712920229. The next prime is 66546712920251. The reversal of 66546712920240 is 4202921764566.

66546712920240 is a `hidden beast` number, since 6 + 6 + 5 + 46 + 71 + 292 + 0 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (66546712920229) and next prime (66546712920251).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 187204591 + ... + 187559729.

Almost surely, 2^{66546712920240} is an apocalyptic number.

66546712920240 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 66546712920240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140417173797120).

66546712920240 is an abundant number, since it is smaller than the sum of its proper divisors (214287634674000).

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

66546712920240 is an equidigital number, since it uses as much as digits as its factorization.

66546712920240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355203 (or 355173 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 66546712920240 in words is "sixty-six trillion, five hundred forty-six billion, seven hundred twelve million, nine hundred twenty thousand, two hundred forty".