9873977400 has 576 divisors, whose sum is σ = 41448775680. Its totient is φ = 2054246400.

The previous prime is 9873977279. The next prime is 9873977401. The reversal of 9873977400 is 47793789.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9873977401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6639457 + ... + 6640943.

It is an arithmetic number, because the mean of its divisors is an integer number (71959680).

Almost surely, 2^9873977400 is an apocalyptic number.

9873977400 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 9873977400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20724387840).

9873977400 is an abundant number, since it is smaller than the sum of its proper divisors (31574798280).

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

9873977400 is a wasteful number, since it uses less digits than its factorization.

9873977400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 9873977400 is about 99367.8891795534. The cubic root of 9873977400 is about 2145.3461550340.

The spelling of 9873977400 in words is "nine billion, eight hundred seventy-three million, nine hundred seventy-seven thousand, four hundred".