9877625472 has 384 divisors, whose sum is σ = 31529113920. Its totient is φ = 2715648000.

The previous prime is 9877625467. The next prime is 9877625509. The reversal of 9877625472 is 2745267789.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72099388 + ... + 72099524.

Almost surely, 2^9877625472 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 9877625472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15764556960).

9877625472 is an abundant number, since it is smaller than the sum of its proper divisors (21651488448).

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

9877625472 is a wasteful number, since it uses less digits than its factorization.

9877625472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 267 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 57.

The square root of 9877625472 is about 99386.2438771081. The cubic root of 9877625472 is about 2145.6103313723.

The spelling of 9877625472 in words is "nine billion, eight hundred seventy-seven million, six hundred twenty-five thousand, four hundred seventy-two".