66040776000 has 672 divisors, whose sum is σ = 245597159808. Its totient is φ = 16927948800.

The previous prime is 66040775989. The next prime is 66040776013. The reversal of 66040776000 is 67704066.

66040776000 is a `hidden beast` number, since 6 + 6 + 0 + 40 + 7 + 7 + 600 + 0 = 666.

It is a super-2 number, since 2×66040776000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256967872 + ... + 256968128.

It is an arithmetic number, because the mean of its divisors is an integer number (365471964).

Almost surely, 2^66040776000 is an apocalyptic number.

66040776000 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 66040776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122798579904).

66040776000 is an abundant number, since it is smaller than the sum of its proper divisors (179556383808).

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

66040776000 is a wasteful number, since it uses less digits than its factorization.

66040776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 66040776000 in words is "sixty-six billion, forty million, seven hundred seventy-six thousand".