10640434350 has 288 divisors, whose sum is σ = 33225444864. Its totient is φ = 2205964800.

The previous prime is 10640434333. The next prime is 10640434361. The reversal of 10640434350 is 5343404601.

It is a super-2 number, since 2×10640434350² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10823959 + ... + 10824941.

It is an arithmetic number, because the mean of its divisors is an integer number (115366128).

Almost surely, 2^10640434350 is an apocalyptic number.

10640434350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10640434350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16612722432).

10640434350 is an abundant number, since it is smaller than the sum of its proper divisors (22585010514).

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

10640434350 is a wasteful number, since it uses less digits than its factorization.

10640434350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 10640434350 its reverse (5343404601), we get a palindrome (15983838951).

The spelling of 10640434350 in words is "ten billion, six hundred forty million, four hundred thirty-four thousand, three hundred fifty".