10626413616 has 720 divisors, whose sum is σ = 39887947008. Its totient is φ = 2612736000.

The previous prime is 10626413593. The next prime is 10626413621. The reversal of 10626413616 is 61631462601.

It is a happy number.

10626413616 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 641 + 3 + 6 + 1 + 6 = 666.

It is a super-2 number, since 2×10626413616² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105211966 + ... + 105212066.

Almost surely, 2^10626413616 is an apocalyptic number.

10626413616 is a gapful number since it is divisible by the number (16) 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 10626413616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19943973504).

10626413616 is an abundant number, since it is smaller than the sum of its proper divisors (29261533392).

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

10626413616 is a wasteful number, since it uses less digits than its factorization.

10626413616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10626413616 in words is "ten billion, six hundred twenty-six million, four hundred thirteen thousand, six hundred sixteen".