10074744680 has 768 divisors, whose sum is σ = 34840834560. Its totient is φ = 2521497600.

The previous prime is 10074744679. The next prime is 10074744683. The reversal of 10074744680 is 8644747001.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10074744683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 245725460 + ... + 245725500.

It is an arithmetic number, because the mean of its divisors is an integer number (45365670).

Almost surely, 2^10074744680 is an apocalyptic number.

10074744680 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 10074744680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17420417280).

10074744680 is an abundant number, since it is smaller than the sum of its proper divisors (24766089880).

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

10074744680 is a wasteful number, since it uses less digits than its factorization.

10074744680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The spelling of 10074744680 in words is "ten billion, seventy-four million, seven hundred forty-four thousand, six hundred eighty".