10077434360 has 128 divisors (see below), whose sum is σ = 27215032320. Its totient is φ = 3283517952.

The previous prime is 10077434357. The next prime is 10077434387. The reversal of 10077434360 is 6343477001.

10077434360 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 (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10077434360.

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 31 ways as a sum of consecutive naturals, for example, 1006097 + ... + 1016063.

It is an arithmetic number, because the mean of its divisors is an integer number (212617440).

Almost surely, 2^10077434360 is an apocalyptic number.

10077434360 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 10077434360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13607516160).

10077434360 is an abundant number, since it is smaller than the sum of its proper divisors (17137597960).

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

10077434360 is a wasteful number, since it uses less digits than its factorization.

10077434360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10165 (or 10161 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 10077434360 in words is "ten billion, seventy-seven million, four hundred thirty-four thousand, three hundred sixty".