10631671740 has 288 divisors, whose sum is σ = 34707805440. Its totient is φ = 2700262656.

The previous prime is 10631671703. The next prime is 10631671741. The reversal of 10631671740 is 4717613601.

10631671740 is a `hidden beast` number, since 1 + 0 + 631 + 6 + 7 + 17 + 4 + 0 = 666.

It is a super-2 number, since 2×10631671740² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10631671695 and 10631671704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10631671741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65224899 + ... + 65225061.

Almost surely, 2^10631671740 is an apocalyptic number.

10631671740 is a gapful number since it is divisible by the number (10) 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 10631671740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17353902720).

10631671740 is an abundant number, since it is smaller than the sum of its proper divisors (24076133700).

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

10631671740 is a wasteful number, since it uses less digits than its factorization.

10631671740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 10631671740 in words is "ten billion, six hundred thirty-one million, six hundred seventy-one thousand, seven hundred forty".