10234702080 has 576 divisors, whose sum is σ = 38569789440. Its totient is φ = 2565734400.

The previous prime is 10234702063. The next prime is 10234702087. The reversal of 10234702080 is 8020743201.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10234702087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43925644 + ... + 43925876.

It is an arithmetic number, because the mean of its divisors is an integer number (66961440).

Almost surely, 2^10234702080 is an apocalyptic number.

10234702080 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 10234702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284894720).

10234702080 is an abundant number, since it is smaller than the sum of its proper divisors (28335087360).

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

10234702080 is a wasteful number, since it uses less digits than its factorization.

10234702080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 10234702080 in words is "ten billion, two hundred thirty-four million, seven hundred two thousand, eighty".