84162758400 has 864 divisors, whose sum is σ = 357474342400. Its totient is φ = 19214807040.

The previous prime is 84162758387. The next prime is 84162758401. The reversal of 84162758400 is 485726148.

84162758400 is a `hidden beast` number, since 8 + 4 + 1 + 62 + 7 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84162758401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97977171 + ... + 97978029.

Almost surely, 2^84162758400 is an apocalyptic number.

84162758400 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 84162758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178737171200).

84162758400 is an abundant number, since it is smaller than the sum of its proper divisors (273311584000).

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

84162758400 is an frugal number, since it uses more digits than its factorization.

84162758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 84162758400 in words is "eighty-four billion, one hundred sixty-two million, seven hundred fifty-eight thousand, four hundred".