84403760486400 has 2880 divisors, whose sum is σ = 339321572029440. Its totient is φ = 20682650419200.

The previous prime is 84403760486351. The next prime is 84403760486411. The reversal of 84403760486400 is 468406730448.

84403760486400 is a `hidden beast` number, since 84 + 40 + 3 + 7 + 6 + 0 + 486 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 300369254260 + ... + 300369254540.

It is an arithmetic number, because the mean of its divisors is an integer number (117819990288).

Almost surely, 2^{84403760486400} is an apocalyptic number.

84403760486400 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 84403760486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169660786014720).

84403760486400 is an abundant number, since it is smaller than the sum of its proper divisors (254917811543040).

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

84403760486400 is a wasteful number, since it uses less digits than its factorization.

84403760486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 84403760486400 in words is "eighty-four trillion, four hundred three billion, seven hundred sixty million, four hundred eighty-six thousand, four hundred".