766460662272 has 210 divisors, whose sum is σ = 2297689548297. Its totient is φ = 255308599296.

The previous prime is 766460662193. The next prime is 766460662273. The reversal of 766460662272 is 272266064667.

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.

766460662272 is a `hidden beast` number, since 7 + 6 + 6 + 4 + 6 + 0 + 6 + 622 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 671586806016 + 94873856256 = 819504^2 + 308016^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=619056.

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

It is not an unprimeable number, because it can be changed into a prime (766460662273) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 534863668 + ... + 534865100.

Almost surely, 2^766460662272 is an apocalyptic number.

766460662272 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 766460662272

766460662272 is an abundant number, since it is smaller than the sum of its proper divisors (1531228886025).

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

766460662272 is an frugal number, since it uses more digits than its factorization.

766460662272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 766460662272 in words is "seven hundred sixty-six billion, four hundred sixty million, six hundred sixty-two thousand, two hundred seventy-two".