766497478032 has 720 divisors, whose sum is σ = 2689719596928. Its totient is φ = 200837283840.

The previous prime is 766497478009. The next prime is 766497478039. The reversal of 766497478032 is 230874794667.

It is a happy number.

766497478032 is a `hidden beast` number, since 7 + 66 + 497 + 4 + 7 + 80 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (766497478039) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 721069533 + ... + 721070595.

Almost surely, 2^766497478032 is an apocalyptic number.

766497478032 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 766497478032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344859798464).

766497478032 is an abundant number, since it is smaller than the sum of its proper divisors (1923222118896).

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

766497478032 is a wasteful number, since it uses less digits than its factorization.

766497478032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 766497478032 in words is "seven hundred sixty-six billion, four hundred ninety-seven million, four hundred seventy-eight thousand, thirty-two".