9962437500 has 252 divisors, whose sum is σ = 31991778000. Its totient is φ = 2613600000.

The previous prime is 9962437489. The next prime is 9962437501. The reversal of 9962437500 is 57342699.

It is a happy number.

9962437500 is a `hidden beast` number, since 9 + 96 + 24 + 37 + 500 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9962437501) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 50062401 + ... + 50062599.

It is an arithmetic number, because the mean of its divisors is an integer number (126951500).

Almost surely, 2^9962437500 is an apocalyptic number.

9962437500 is a gapful number since it is divisible by the number (90) 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 9962437500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15995889000).

9962437500 is an abundant number, since it is smaller than the sum of its proper divisors (22029340500).

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

9962437500 is a wasteful number, since it uses less digits than its factorization.

9962437500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 9962437500 is about 99812.0108003040. The cubic root of 9962437500 is about 2151.7337736632.

The spelling of 9962437500 in words is "nine billion, nine hundred sixty-two million, four hundred thirty-seven thousand, five hundred".