66300070144 has 405 divisors, whose sum is σ = 178723417635. Its totient is φ = 24471659520.

The previous prime is 66300070127. The next prime is 66300070169. The reversal of 66300070144 is 44107000366.

The square root of 66300070144 is 257488.

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

66300070144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3489477367 + ... + 3489477385.

Almost surely, 2^66300070144 is an apocalyptic number.

66300070144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

66300070144 is the 257488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66300070144

66300070144 is an abundant number, since it is smaller than the sum of its proper divisors (112423347491).

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

66300070144 is an frugal number, since it uses more digits than its factorization.

66300070144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 66300070144 in words is "sixty-six billion, three hundred million, seventy thousand, one hundred forty-four".