10634041600 has 648 divisors, whose sum is σ = 35235453120. Its totient is φ = 3085516800.

The previous prime is 10634041571. The next prime is 10634041699. The reversal of 10634041600 is 614043601.

It is a super-3 number, since 3×10634041600³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 343033585 + ... + 343033615.

Almost surely, 2^10634041600 is an apocalyptic number.

10634041600 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 10634041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17617726560).

10634041600 is an abundant number, since it is smaller than the sum of its proper divisors (24601411520).

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

10634041600 is a wasteful number, since it uses less digits than its factorization.

10634041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 10634041600 in words is "ten billion, six hundred thirty-four million, forty-one thousand, six hundred".