9978063408 has 400 divisors, whose sum is σ = 32003532000. Its totient is φ = 2988969984.

The previous prime is 9978063383. The next prime is 9978063439. The reversal of 9978063408 is 8043608799.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63554466 + ... + 63554622.

It is an arithmetic number, because the mean of its divisors is an integer number (80008830).

Almost surely, 2^9978063408 is an apocalyptic number.

9978063408 is the 57672-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9978063408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16001766000).

9978063408 is an abundant number, since it is smaller than the sum of its proper divisors (22025468592).

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

9978063408 is a wasteful number, since it uses less digits than its factorization.

9978063408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9978063408 is about 99890.2568221746. The cubic root of 9978063408 is about 2152.8581715283.

The spelling of 9978063408 in words is "nine billion, nine hundred seventy-eight million, sixty-three thousand, four hundred eight".