10434652704 has 288 divisors, whose sum is σ = 35102995200. Its totient is φ = 2938457088.

The previous prime is 10434652639. The next prime is 10434652763. The reversal of 10434652704 is 40725643401.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 7210509 + ... + 7211955.

It is an arithmetic number, because the mean of its divisors is an integer number (121885400).

Almost surely, 2^10434652704 is an apocalyptic number.

10434652704 is a gapful number since it is divisible by the number (14) 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 10434652704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17551497600).

10434652704 is an abundant number, since it is smaller than the sum of its proper divisors (24668342496).

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

10434652704 is a wasteful number, since it uses less digits than its factorization.

10434652704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 10434652704 in words is "ten billion, four hundred thirty-four million, six hundred fifty-two thousand, seven hundred four".