10744127640 has 192 divisors, whose sum is σ = 36716846400. Its totient is φ = 2720793600.

The previous prime is 10744127621. The next prime is 10744127659. The reversal of 10744127640 is 4672144701.

It is a happy number.

10744127640 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 4 + 1 + 2 + 7 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (10744127621) and next prime (10744127659).

It is a super-2 number, since 2×10744127640² (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 = 10744127595 and 10744127604.

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 47 ways as a sum of consecutive naturals, for example, 628405 + ... + 645275.

It is an arithmetic number, because the mean of its divisors is an integer number (191233575).

Almost surely, 2^10744127640 is an apocalyptic number.

10744127640 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 10744127640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18358423200).

10744127640 is an abundant number, since it is smaller than the sum of its proper divisors (25972718760).

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

10744127640 is a wasteful number, since it uses less digits than its factorization.

10744127640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16978 (or 16971 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

It can be divided in two parts, 10744 and 127640, that added together give a square (138384 = 372²).

The spelling of 10744127640 in words is "ten billion, seven hundred forty-four million, one hundred twenty-seven thousand, six hundred forty".