66542201460 has 336 divisors, whose sum is σ = 240250703616. Its totient is φ = 15158347776.

The previous prime is 66542201441. The next prime is 66542201461. The reversal of 66542201460 is 6410224566.

It is a super-3 number, since 3×66542201460³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66542201461) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 36026257 + ... + 36028103.

It is an arithmetic number, because the mean of its divisors is an integer number (715031856).

Almost surely, 2^66542201460 is an apocalyptic number.

66542201460 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 66542201460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120125351808).

66542201460 is an abundant number, since it is smaller than the sum of its proper divisors (173708502156).

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

66542201460 is a wasteful number, since it uses less digits than its factorization.

66542201460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 66542201460 in words is "sixty-six billion, five hundred forty-two million, two hundred one thousand, four hundred sixty".