10564679840 has 192 divisors, whose sum is σ = 29422673280. Its totient is φ = 3534090240.

The previous prime is 10564679833. The next prime is 10564679843. The reversal of 10564679840 is 4897646501.

It is a super-2 number, since 2×10564679840² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10564679843) 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, 8899727 + ... + 8900913.

It is an arithmetic number, because the mean of its divisors is an integer number (153243090).

Almost surely, 2^10564679840 is an apocalyptic number.

10564679840 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 10564679840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14711336640).

10564679840 is an abundant number, since it is smaller than the sum of its proper divisors (18857993440).

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

10564679840 is a wasteful number, since it uses less digits than its factorization.

10564679840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 10564679840 in words is "ten billion, five hundred sixty-four million, six hundred seventy-nine thousand, eight hundred forty".