7813429650 has 144 divisors (see below), whose sum is σ = 22699187784. Its totient is φ = 1915453440.

The previous prime is 7813429643. The next prime is 7813429693. The reversal of 7813429650 is 569243187.

7813429650 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 992817081 + 6820612569 = 31509^2 + 82587^2 .

It is a super-2 number, since 2×7813429650² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

7813429650 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 7813429596 and 7813429605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1500852 + ... + 1506048.

It is a 1-persistent number, because it is pandigital, but 2⋅7813429650 = 15626859300 is not.

Almost surely, 2^7813429650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7813429650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11349593892).

7813429650 is an abundant number, since it is smaller than the sum of its proper divisors (14885758134).

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

7813429650 is a wasteful number, since it uses less digits than its factorization.

7813429650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7813429650 is about 88393.6063864350. The cubic root of 7813429650 is about 1984.3300172993.

The spelling of 7813429650 in words is "seven billion, eight hundred thirteen million, four hundred twenty-nine thousand, six hundred fifty".