10193597640 has 96 divisors (see below), whose sum is σ = 33218448120. Its totient is φ = 2710969344.

The previous prime is 10193597633. The next prime is 10193597651. The reversal of 10193597640 is 4679539101.

10193597640 is a `hidden beast` number, since 1 + 0 + 19 + 3 + 597 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9311864004 + 881733636 = 96498^2 + 29694^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96324 + ... + 172236.

Almost surely, 2^10193597640 is an apocalyptic number.

10193597640 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 10193597640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16609224060).

10193597640 is an abundant number, since it is smaller than the sum of its proper divisors (23024850480).

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

10193597640 is a wasteful number, since it uses less digits than its factorization.

10193597640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76303 (or 76296 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 10193597640 in words is "ten billion, one hundred ninety-three million, five hundred ninety-seven thousand, six hundred forty".