10615328640 has 768 divisors, whose sum is σ = 44553600000. Its totient is φ = 2414168064.

The previous prime is 10615328627. The next prime is 10615328651. The reversal of 10615328640 is 4682351601.

It is a happy number.

10615328640 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 5 + 3 + 2 + 8 + 640 = 666.

It is a super-2 number, since 2×10615328640² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10615328595 and 10615328604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53343261 + ... + 53343459.

It is an arithmetic number, because the mean of its divisors is an integer number (58012500).

Almost surely, 2^10615328640 is an apocalyptic number.

10615328640 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 10615328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22276800000).

10615328640 is an abundant number, since it is smaller than the sum of its proper divisors (33938271360).

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

10615328640 is an frugal number, since it uses more digits than its factorization.

10615328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10615328640 in words is "ten billion, six hundred fifteen million, three hundred twenty-eight thousand, six hundred forty".