9957537876 has 192 divisors, whose sum is σ = 28036141056. Its totient is φ = 2710540800.

The previous prime is 9957537871. The next prime is 9957537881. The reversal of 9957537876 is 6787357599.

It is an interprime number because it is at equal distance from previous prime (9957537871) and next prime (9957537881).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9957537871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26695626 + ... + 26695998.

It is an arithmetic number, because the mean of its divisors is an integer number (146021568).

Almost surely, 2^9957537876 is an apocalyptic number.

9957537876 is the 53339-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9957537876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14018070528).

9957537876 is an abundant number, since it is smaller than the sum of its proper divisors (18078603180).

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

9957537876 is a wasteful number, since it uses less digits than its factorization.

9957537876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 780 counting only the distinct ones).

The product of its digits is 100018800, while the sum is 66.

The square root of 9957537876 is about 99787.4635212260. The cubic root of 9957537876 is about 2151.3809679286.

The spelling of 9957537876 in words is "nine billion, nine hundred fifty-seven million, five hundred thirty-seven thousand, eight hundred seventy-six".