9877432320 has 576 divisors, whose sum is σ = 39923694720. Its totient is φ = 2211840000.

The previous prime is 9877432297. The next prime is 9877432337. The reversal of 9877432320 is 232347789.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 39352195 + ... + 39352445.

It is an arithmetic number, because the mean of its divisors is an integer number (69311970).

Almost surely, 2^9877432320 is an apocalyptic number.

9877432320 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 9877432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19961847360).

9877432320 is an abundant number, since it is smaller than the sum of its proper divisors (30046262400).

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

9877432320 is a wasteful number, since it uses less digits than its factorization.

9877432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 9877432320 is about 99385.2721483420. The cubic root of 9877432320 is about 2145.5963458374.

The spelling of 9877432320 in words is "nine billion, eight hundred seventy-seven million, four hundred thirty-two thousand, three hundred twenty".