766142447616 has 1080 divisors, whose sum is σ = 2879097694704. Its totient is φ = 198747095040.

The previous prime is 766142447597. The next prime is 766142447633. The reversal of 766142447616 is 616744241667.

766142447616 is a `hidden beast` number, since 7 + 6 + 6 + 14 + 2 + 4 + 4 + 7 + 616 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12559712226 + ... + 12559712286.

Almost surely, 2^766142447616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766142447616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439548847352).

766142447616 is an abundant number, since it is smaller than the sum of its proper divisors (2112955247088).

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

766142447616 is an frugal number, since it uses more digits than its factorization.

766142447616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 86 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 766142447616 in words is "seven hundred sixty-six billion, one hundred forty-two million, four hundred forty-seven thousand, six hundred sixteen".