10734393600 has 648 divisors, whose sum is σ = 44547426560. Its totient is φ = 2415329280.

The previous prime is 10734393599. The next prime is 10734393611. The reversal of 10734393600 is 639343701.

10734393600 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 43 + 9 + 3 + 600 = 666.

10734393600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31852632 + ... + 31852968.

Almost surely, 2^10734393600 is an apocalyptic number.

10734393600 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 10734393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22273713280).

10734393600 is an abundant number, since it is smaller than the sum of its proper divisors (33813032960).

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

10734393600 is a wasteful number, since it uses less digits than its factorization.

10734393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 10734393600 in words is "ten billion, seven hundred thirty-four million, three hundred ninety-three thousand, six hundred".