10680477610 has 36 divisors (see below), whose sum is σ = 21138572322. Its totient is φ = 3882502800.

The previous prime is 10680477559. The next prime is 10680477611. The reversal of 10680477610 is 1677408601.

It can be written as a sum of positive squares in only one way, i.e., 9612429849 + 1068047761 = 98043^2 + 32681^2 .

It is a super-2 number, since 2×10680477610² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10680477611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3593425 + ... + 3596395.

Almost surely, 2^10680477610 is an apocalyptic number.

10680477610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10680477610 is a deficient number, since it is larger than the sum of its proper divisors (10458094712).

10680477610 is an frugal number, since it uses more digits than its factorization.

10680477610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5971 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

Multiplying 10680477610 by its sum of digits (40), we get a square (427219104400 = 653620²).

The spelling of 10680477610 in words is "ten billion, six hundred eighty million, four hundred seventy-seven thousand, six hundred ten".