66786263040 has 768 divisors, whose sum is σ = 258197414400. Its totient is φ = 14687404032.

The previous prime is 66786263017. The next prime is 66786263129. The reversal of 66786263040 is 4036268766.

It is a tau number, because it is divible by the number of its divisors (768).

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 47 ways as a sum of consecutive naturals, for example, 1131970531 + ... + 1131970589.

It is an arithmetic number, because the mean of its divisors is an integer number (336194550).

Almost surely, 2^66786263040 is an apocalyptic number.

66786263040 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 66786263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129098707200).

66786263040 is an abundant number, since it is smaller than the sum of its proper divisors (191411151360).

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

66786263040 is an equidigital number, since it uses as much as digits as its factorization.

66786263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 66786263040 in words is "sixty-six billion, seven hundred eighty-six million, two hundred sixty-three thousand, forty".