10075679994240 has 1792 divisors, whose sum is σ = 42703597440000. Its totient is φ = 2224187817984.

The previous prime is 10075679994223. The next prime is 10075679994241. The reversal of 10075679994240 is 4249997657001.

10075679994240 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 56 + 79 + 99 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10075679994241) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 24046968751 + ... + 24046969169.

It is an arithmetic number, because the mean of its divisors is an integer number (23830132500).

Almost surely, 2^{10075679994240} is an apocalyptic number.

10075679994240 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 10075679994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21351798720000).

10075679994240 is an abundant number, since it is smaller than the sum of its proper divisors (32627917445760).

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

10075679994240 is an equidigital number, since it uses as much as digits as its factorization.

10075679994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 10075679994240 in words is "ten trillion, seventy-five billion, six hundred seventy-nine million, nine hundred ninety-four thousand, two hundred forty".