10745663040 has 448 divisors, whose sum is σ = 43696128000. Its totient is φ = 2435069952.

The previous prime is 10745663011. The next prime is 10745663051. The reversal of 10745663040 is 4036654701.

It is a happy number.

10745663040 is a `hidden beast` number, since 10 + 7 + 4 + 5 + 6 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 10745662986 and 10745663004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7680261 + ... + 7681659.

It is an arithmetic number, because the mean of its divisors is an integer number (97536000).

Almost surely, 2^10745663040 is an apocalyptic number.

10745663040 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 10745663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21848064000).

10745663040 is an abundant number, since it is smaller than the sum of its proper divisors (32950464960).

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

10745663040 is a wasteful number, since it uses less digits than its factorization.

10745663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10745663040 in words is "ten billion, seven hundred forty-five million, six hundred sixty-three thousand, forty".