9873764352 has 416 divisors, whose sum is σ = 31872819200. Its totient is φ = 3009871872.

The previous prime is 9873764317. The next prime is 9873764413. The reversal of 9873764352 is 2534673789.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7620480) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77746113 + ... + 77746239.

Almost surely, 2^9873764352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9873764352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936409600).

9873764352 is an abundant number, since it is smaller than the sum of its proper divisors (21999054848).

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

9873764352 is a wasteful number, since it uses less digits than its factorization.

9873764352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 188 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 9873764352 is about 99366.8171574394. The cubic root of 9873764352 is about 2145.3307250819.

The spelling of 9873764352 in words is "nine billion, eight hundred seventy-three million, seven hundred sixty-four thousand, three hundred fifty-two".