10197024768 has 480 divisors, whose sum is σ = 35860204800. Its totient is φ = 2802843648.

The previous prime is 10197024767. The next prime is 10197024787. The reversal of 10197024768 is 86742079101.

It is a happy number.

10197024768 is a `hidden beast` number, since 101 + 9 + 70 + 2 + 476 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (10197024763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114573268 + ... + 114573356.

It is an arithmetic number, because the mean of its divisors is an integer number (74708760).

Almost surely, 2^10197024768 is an apocalyptic number.

10197024768 is a gapful number since it is divisible by the number (18) 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 10197024768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17930102400).

10197024768 is an abundant number, since it is smaller than the sum of its proper divisors (25663180032).

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

10197024768 is an frugal number, since it uses more digits than its factorization.

10197024768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 10197024768 in words is "ten billion, one hundred ninety-seven million, twenty-four thousand, seven hundred sixty-eight".