9625279488000 has 448 divisors, whose sum is σ = 34943004495360. Its totient is φ = 2333392896000.

The previous prime is 9625279487939. The next prime is 9625279488023. The reversal of 9625279488000 is 8849725269.

It is a super-2 number, since 2×9625279488000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 33649581 + ... + 33934419.

Almost surely, 2^{9625279488000} 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 9625279488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17471502247680).

9625279488000 is an abundant number, since it is smaller than the sum of its proper divisors (25317725007360).

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

9625279488000 is a wasteful number, since it uses less digits than its factorization.

9625279488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284894 (or 284860 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 9625279488000 in words is "nine trillion, six hundred twenty-five billion, two hundred seventy-nine million, four hundred eighty-eight thousand".