66036611520 has 1008 divisors, whose sum is σ = 269781430464. Its totient is φ = 14760345600.

The previous prime is 66036611519. The next prime is 66036611567. The reversal of 66036611520 is 2511663066.

66036611520 is a `hidden beast` number, since 6 + 6 + 0 + 36 + 611 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×66036611520² (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 143 ways as a sum of consecutive naturals, for example, 420615282 + ... + 420615438.

It is an arithmetic number, because the mean of its divisors is an integer number (267640308).

Almost surely, 2^66036611520 is an apocalyptic number.

66036611520 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 66036611520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134890715232).

66036611520 is an abundant number, since it is smaller than the sum of its proper divisors (203744818944).

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

66036611520 is a wasteful number, since it uses less digits than its factorization.

66036611520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 66036611520 in words is "sixty-six billion, thirty-six million, six hundred eleven thousand, five hundred twenty".