10746581040 has 800 divisors, whose sum is σ = 42876630720. Its totient is φ = 2475712512.

The previous prime is 10746581023. The next prime is 10746581057. The reversal of 10746581040 is 4018564701.

It is a happy number.

10746581040 is a `hidden beast` number, since 1 + 0 + 74 + 6 + 581 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10746581023) and next prime (10746581057).

It is a super-3 number, since 3×10746581040³ (a number of 31 digits) contains 333 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 = 10746580986 and 10746581004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 129476839 + ... + 129476921.

Almost surely, 2^10746581040 is an apocalyptic number.

10746581040 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 10746581040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21438315360).

10746581040 is an abundant number, since it is smaller than the sum of its proper divisors (32130049680).

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

10746581040 is a wasteful number, since it uses less digits than its factorization.

10746581040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10746581040 in words is "ten billion, seven hundred forty-six million, five hundred eighty-one thousand, forty".