9962013642 has 24 divisors (see below), whose sum is σ = 22771795488. Its totient is φ = 2846104800.

The previous prime is 9962013641. The next prime is 9962013653. The reversal of 9962013642 is 2463102699.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 9962013594 and 9962013603.

It is not an unprimeable number, because it can be changed into a prime (9962013641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 639142 + ... + 654542.

It is an arithmetic number, because the mean of its divisors is an integer number (948824812).

Almost surely, 2^9962013642 is an apocalyptic number.

9962013642 is an abundant number, since it is smaller than the sum of its proper divisors (12809781846).

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

9962013642 is an frugal number, since it uses more digits than its factorization.

9962013642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30814 (or 15413 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 9962013642 is about 99809.8874961795. The cubic root of 9962013642 is about 2151.7032576204.

Multiplying 9962013642 by its sum of digits (42), we get a square (418404572964 = 646842²).

9962013642 divided by its sum of digits (42) gives a square (237190801 = 15401²).

The spelling of 9962013642 in words is "nine billion, nine hundred sixty-two million, thirteen thousand, six hundred forty-two".