66754280736 has 768 divisors, whose sum is σ = 241823232000. Its totient is φ = 17732183040.

The previous prime is 66754280729. The next prime is 66754280741. The reversal of 66754280736 is 63708245766.

66754280736 is a `hidden beast` number, since 6 + 67 + 542 + 8 + 0 + 7 + 36 = 666.

It is a super-2 number, since 2×66754280736² (a number of 22 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 480246555 + ... + 480246693.

It is an arithmetic number, because the mean of its divisors is an integer number (314874000).

Almost surely, 2^66754280736 is an apocalyptic number.

66754280736 is a gapful number since it is divisible by the number (66) 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 66754280736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120911616000).

66754280736 is an abundant number, since it is smaller than the sum of its proper divisors (175068951264).

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

66754280736 is a wasteful number, since it uses less digits than its factorization.

66754280736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 66754280736 in words is "sixty-six billion, seven hundred fifty-four million, two hundred eighty thousand, seven hundred thirty-six".