10627463808 has 192 divisors, whose sum is σ = 33388653480. Its totient is φ = 3224862720.

The previous prime is 10627463783. The next prime is 10627463813. The reversal of 10627463808 is 80836472601.

10627463808 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 7 + 4 + 638 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4441955904 + 6185507904 = 66648^2 + 78648^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10627463808² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1088388 + ... + 1098108.

Almost surely, 2^10627463808 is an apocalyptic number.

10627463808 is a gapful number since it is divisible by the number (18) 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 10627463808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16694326740).

10627463808 is an abundant number, since it is smaller than the sum of its proper divisors (22761189672).

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

10627463808 is a wasteful number, since it uses less digits than its factorization.

10627463808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9827 (or 9812 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10627463808 in words is "ten billion, six hundred twenty-seven million, four hundred sixty-three thousand, eight hundred eight".