10754240640 has 768 divisors, whose sum is σ = 42576399360. Its totient is φ = 2284339200.

The previous prime is 10754240621. The next prime is 10754240669. The reversal of 10754240640 is 4604245701.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82093375 + ... + 82093505.

It is an arithmetic number, because the mean of its divisors is an integer number (55438020).

Almost surely, 2^10754240640 is an apocalyptic number.

10754240640 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 10754240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21288199680).

10754240640 is an abundant number, since it is smaller than the sum of its proper divisors (31822158720).

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

10754240640 is a wasteful number, since it uses less digits than its factorization.

10754240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 10754240640 in words is "ten billion, seven hundred fifty-four million, two hundred forty thousand, six hundred forty".