766190446272 has 126 divisors (see below), whose sum is σ = 2277809856868. Its totient is φ = 255360428928.

The previous prime is 766190446243. The next prime is 766190446303. The reversal of 766190446272 is 272644091667.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

766190446272 is a `hidden beast` number, since 7 + 6 + 6 + 1 + 9 + 0 + 4 + 4 + 627 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 109155979 + ... + 109162997.

Almost surely, 2^766190446272 is an apocalyptic number.

766190446272 is a gapful number since it is divisible by the number (72) 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 766190446272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138904928434).

766190446272 is an abundant number, since it is smaller than the sum of its proper divisors (1511619410596).

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

766190446272 is an frugal number, since it uses more digits than its factorization.

766190446272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14065 (or 7024 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 766190446272 in words is "seven hundred sixty-six billion, one hundred ninety million, four hundred forty-six thousand, two hundred seventy-two".