10434277620 has 144 divisors (see below), whose sum is σ = 34387818192. Its totient is φ = 2545643520.

The previous prime is 10434277603. The next prime is 10434277621. The reversal of 10434277620 is 2677243401.

10434277620 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 4 + 27 + 7 + 620 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4254431076 + 6179846544 = 65226^2 + 78612^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434277621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244690 + ... + 284150.

It is an arithmetic number, because the mean of its divisors is an integer number (238804293).

Almost surely, 2^10434277620 is an apocalyptic number.

10434277620 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 10434277620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193909096).

10434277620 is an abundant number, since it is smaller than the sum of its proper divisors (23953540572).

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

10434277620 is a wasteful number, since it uses less digits than its factorization.

10434277620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39602 (or 39597 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 10434277620 in words is "ten billion, four hundred thirty-four million, two hundred seventy-seven thousand, six hundred twenty".