66676521600 has 1536 divisors, whose sum is σ = 286856640000. Its totient is φ = 14987427840.

The previous prime is 66676521551. The next prime is 66676521617. The reversal of 66676521600 is 612567666.

66676521600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 749174356 + ... + 749174444.

It is an arithmetic number, because the mean of its divisors is an integer number (186755625).

Almost surely, 2^66676521600 is an apocalyptic number.

66676521600 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 66676521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143428320000).

66676521600 is an abundant number, since it is smaller than the sum of its proper divisors (220180118400).

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

66676521600 is a wasteful number, since it uses less digits than its factorization.

66676521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 66676521600 in words is "sixty-six billion, six hundred seventy-six million, five hundred twenty-one thousand, six hundred".