10197638640 has 320 divisors, whose sum is σ = 40697395200. Its totient is φ = 2298710016.

The previous prime is 10197638621. The next prime is 10197638663. The reversal of 10197638640 is 4683679101.

It is a happy number.

10197638640 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 7 + 638 + 6 + 4 + 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1099141 + ... + 1108379.

It is an arithmetic number, because the mean of its divisors is an integer number (127179360).

Almost surely, 2^10197638640 is an apocalyptic number.

10197638640 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 10197638640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20348697600).

10197638640 is an abundant number, since it is smaller than the sum of its proper divisors (30499756560).

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

10197638640 is a wasteful number, since it uses less digits than its factorization.

10197638640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9341 (or 9329 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10197638640 in words is "ten billion, one hundred ninety-seven million, six hundred thirty-eight thousand, six hundred forty".