84494636438400 has 384 divisors, whose sum is σ = 314296211656800. Its totient is φ = 22162526208000.

The previous prime is 84494636438369. The next prime is 84494636438437. The reversal of 84494636438400 is 483463649448.

It is a happy number.

84494636438400 is a `hidden beast` number, since 8 + 4 + 49 + 463 + 64 + 38 + 40 + 0 = 666.

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

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2745561 + ... + 13286360.

Almost surely, 2^{84494636438400} is an apocalyptic number.

84494636438400 is a gapful number since it is divisible by the number (80) 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 84494636438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157148105828400).

84494636438400 is an abundant number, since it is smaller than the sum of its proper divisors (229801575218400).

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

84494636438400 is a wasteful number, since it uses less digits than its factorization.

84494636438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16032015 (or 16031992 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 63.

The spelling of 84494636438400 in words is "eighty-four trillion, four hundred ninety-four billion, six hundred thirty-six million, four hundred thirty-eight thousand, four hundred".