10618609680 has 480 divisors, whose sum is σ = 43602209280. Its totient is φ = 2366945280.

The previous prime is 10618609627. The next prime is 10618609681. The reversal of 10618609680 is 8690681601.

It is a happy number.

It is a super-2 number, since 2×10618609680² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10618609681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4338217 + ... + 4340663.

It is an arithmetic number, because the mean of its divisors is an integer number (90837936).

Almost surely, 2^10618609680 is an apocalyptic number.

10618609680 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 10618609680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21801104640).

10618609680 is an abundant number, since it is smaller than the sum of its proper divisors (32983599600).

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

10618609680 is a wasteful number, since it uses less digits than its factorization.

10618609680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10618609680 in words is "ten billion, six hundred eighteen million, six hundred nine thousand, six hundred eighty".