95784494400 has 1512 divisors, whose sum is σ = 425694896640. Its totient is φ = 20321280000.

The previous prime is 95784494389. The next prime is 95784494419. The reversal of 95784494400 is 449448759.

95784494400 is a `hidden beast` number, since 95 + 78 + 4 + 49 + 440 + 0 = 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, 634334325 + ... + 634334475.

Almost surely, 2^95784494400 is an apocalyptic number.

95784494400 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 95784494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212847448320).

95784494400 is an abundant number, since it is smaller than the sum of its proper divisors (329910402240).

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

95784494400 is a wasteful number, since it uses less digits than its factorization.

95784494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 95784494400 in words is "ninety-five billion, seven hundred eighty-four million, four hundred ninety-four thousand, four hundred".