96478396416 has 384 divisors, whose sum is σ = 294108497280. Its totient is φ = 30434918400.

The previous prime is 96478396411. The next prime is 96478396423. The reversal of 96478396416 is 61469387469.

96478396416 is a `hidden beast` number, since 9 + 64 + 78 + 3 + 96 + 416 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96478396411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 557678506 + ... + 557678678.

It is an arithmetic number, because the mean of its divisors is an integer number (765907545).

Almost surely, 2^96478396416 is an apocalyptic number.

96478396416 is a gapful number since it is divisible by the number (96) 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 96478396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147054248640).

96478396416 is an abundant number, since it is smaller than the sum of its proper divisors (197630100864).

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

96478396416 is a wasteful number, since it uses less digits than its factorization.

96478396416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 270 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 96478396416 in words is "ninety-six billion, four hundred seventy-eight million, three hundred ninety-six thousand, four hundred sixteen".