10949634000 has 480 divisors, whose sum is σ = 40722215040. Its totient is φ = 2812320000.

The previous prime is 10949633999. The next prime is 10949634029. The reversal of 10949634000 is 43694901.

10949634000 is a `hidden beast` number, since 10 + 9 + 4 + 9 + 634 + 0 + 0 + 0 = 666.

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

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, 51893895 + ... + 51894105.

It is an arithmetic number, because the mean of its divisors is an integer number (84837948).

Almost surely, 2^10949634000 is an apocalyptic number.

10949634000 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 10949634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20361107520).

10949634000 is an abundant number, since it is smaller than the sum of its proper divisors (29772581040).

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

10949634000 is a wasteful number, since it uses less digits than its factorization.

10949634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10949634000 in words is "ten billion, nine hundred forty-nine million, six hundred thirty-four thousand".