10618395840 has 896 divisors, whose sum is σ = 43873643520. Its totient is φ = 2394095616.

The previous prime is 10618395769. The next prime is 10618395859. The reversal of 10618395840 is 4859381601.

10618395840 is a `hidden beast` number, since 1 + 0 + 61 + 8 + 3 + 9 + 584 + 0 = 666.

It is a super-2 number, since 2×10618395840² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 127932439 + ... + 127932521.

It is an arithmetic number, because the mean of its divisors is an integer number (48966120).

Almost surely, 2^10618395840 is an apocalyptic number.

10618395840 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 10618395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936821760).

10618395840 is an abundant number, since it is smaller than the sum of its proper divisors (33255247680).

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

10618395840 is a wasteful number, since it uses less digits than its factorization.

10618395840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10618395840 in words is "ten billion, six hundred eighteen million, three hundred ninety-five thousand, eight hundred forty".