66276424704 has 352 divisors, whose sum is σ = 212756992000. Its totient is φ = 18316247040.

The previous prime is 66276424699. The next prime is 66276424769. The reversal of 66276424704 is 40742467266.

It is a happy number.

66276424704 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32663562 + ... + 32665590.

Almost surely, 2^66276424704 is an apocalyptic number.

66276424704 is a gapful number since it is divisible by the number (64) 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 66276424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106378496000).

66276424704 is an abundant number, since it is smaller than the sum of its proper divisors (146480567296).

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

66276424704 is a wasteful number, since it uses less digits than its factorization.

66276424704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 48.

The spelling of 66276424704 in words is "sixty-six billion, two hundred seventy-six million, four hundred twenty-four thousand, seven hundred four".