9407680128 has 576 divisors, whose sum is σ = 34918884000. Its totient is φ = 2403717120.

The previous prime is 9407680103. The next prime is 9407680153. The reversal of 9407680128 is 8210867049.

It is an interprime number because it is at equal distance from previous prime (9407680103) and next prime (9407680153).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67681083 + ... + 67681221.

Almost surely, 2^9407680128 is an apocalyptic number.

9407680128 is a gapful number since it is divisible by the number (98) 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 9407680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17459442000).

9407680128 is an abundant number, since it is smaller than the sum of its proper divisors (25511203872).

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

9407680128 is a wasteful number, since it uses less digits than its factorization.

9407680128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 9407680128 is about 96993.1962974723. The cubic root of 9407680128 is about 2111.0289096250.

The spelling of 9407680128 in words is "nine billion, four hundred seven million, six hundred eighty thousand, one hundred twenty-eight".