84493002147840 has 1536 divisors, whose sum is σ = 354855271680000. Its totient is φ = 18800321495040.

The previous prime is 84493002147839. The next prime is 84493002147947. The reversal of 84493002147840 is 4874120039448.

84493002147840 is a `hidden beast` number, since 8 + 4 + 49 + 300 + 214 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7077052591 + ... + 7077064529.

It is an arithmetic number, because the mean of its divisors is an integer number (231025567500).

Almost surely, 2^{84493002147840} is an apocalyptic number.

84493002147840 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 84493002147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177427635840000).

84493002147840 is an abundant number, since it is smaller than the sum of its proper divisors (270362269532160).

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

84493002147840 is a wasteful number, since it uses less digits than its factorization.

84493002147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12178 (or 12152 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 84493002147840 in words is "eighty-four trillion, four hundred ninety-three billion, two million, one hundred forty-seven thousand, eight hundred forty".