66729254760 has 640 divisors, whose sum is σ = 285718752000. Its totient is φ = 13598171136.

The previous prime is 66729254731. The next prime is 66729254771. The reversal of 66729254760 is 6745292766.

66729254760 is a `hidden beast` number, since 6 + 6 + 7 + 2 + 92 + 547 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 66729254697 and 66729254706.

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, 7321086 + ... + 7330194.

It is an arithmetic number, because the mean of its divisors is an integer number (446435550).

Almost surely, 2^66729254760 is an apocalyptic number.

66729254760 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 66729254760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142859376000).

66729254760 is an abundant number, since it is smaller than the sum of its proper divisors (218989497240).

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

66729254760 is a wasteful number, since it uses less digits than its factorization.

66729254760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9175 (or 9162 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

It can be divided in two parts, 6672925 and 4760, that added together give a triangular number (6677685 = T₃₆₅₄).

The spelling of 66729254760 in words is "sixty-six billion, seven hundred twenty-nine million, two hundred fifty-four thousand, seven hundred sixty".