10079573760 has 216 divisors, whose sum is σ = 35223630624. Its totient is φ = 2660966400.

The previous prime is 10079573737. The next prime is 10079573767. The reversal of 10079573760 is 6737597001.

10079573760 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 9 + 573 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10079573767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1159189 + ... + 1167851.

It is an arithmetic number, because the mean of its divisors is an integer number (163072364).

Almost surely, 2^10079573760 is an apocalyptic number.

10079573760 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 10079573760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611815312).

10079573760 is an abundant number, since it is smaller than the sum of its proper divisors (25144056864).

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

10079573760 is a wasteful number, since it uses less digits than its factorization.

10079573760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8791 (or 8774 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The spelling of 10079573760 in words is "ten billion, seventy-nine million, five hundred seventy-three thousand, seven hundred sixty".