94378838400 has 1728 divisors, whose sum is σ = 436930472160. Its totient is φ = 18977587200.

The previous prime is 94378838399. The next prime is 94378838413. The reversal of 94378838400 is 483887349.

94378838400 is a `hidden beast` number, since 94 + 3 + 78 + 83 + 8 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1292860764 + ... + 1292860836.

Almost surely, 2^94378838400 is an apocalyptic number.

94378838400 is a gapful number since it is divisible by the number (90) 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 94378838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218465236080).

94378838400 is an abundant number, since it is smaller than the sum of its proper divisors (342551633760).

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

94378838400 is a wasteful number, since it uses less digits than its factorization.

94378838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 94378838400 in words is "ninety-four billion, three hundred seventy-eight million, eight hundred thirty-eight thousand, four hundred".