66588770304 has 375 divisors, whose sum is σ = 231424910607. Its totient is φ = 19025362944.

The previous prime is 66588770291. The next prime is 66588770323. The reversal of 66588770304 is 40307788566.

The square root of 66588770304 is 258048.

It is a perfect power (a square), and thus also a powerful number.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9512681469 + ... + 9512681475.

Almost surely, 2^66588770304 is an apocalyptic number.

66588770304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

66588770304 is the 258048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66588770304

66588770304 is an abundant number, since it is smaller than the sum of its proper divisors (164836140303).

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

66588770304 is an frugal number, since it uses more digits than its factorization.

66588770304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 66588770304 in words is "sixty-six billion, five hundred eighty-eight million, seven hundred seventy thousand, three hundred four".