66054074724000 has 3456 divisors, whose sum is σ = 280922887784448. Its totient is φ = 15242515200000.

The previous prime is 66054074723963. The next prime is 66054074724019. The reversal of 66054074724000 is 42747045066.

66054074724000 is a `hidden beast` number, since 6 + 60 + 54 + 0 + 74 + 72 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1082853683970 + ... + 1082853684030.

It is an arithmetic number, because the mean of its divisors is an integer number (81285557808).

Almost surely, 2^{66054074724000} is an apocalyptic number.

66054074724000 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 66054074724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140461443892224).

66054074724000 is an abundant number, since it is smaller than the sum of its proper divisors (214868813060448).

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

66054074724000 is an frugal number, since it uses more digits than its factorization.

66054074724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 66054074724000 in words is "sixty-six trillion, fifty-four billion, seventy-four million, seven hundred twenty-four thousand".