84327644903040 has 6912 divisors, whose sum is σ = 422662888252800. Its totient is φ = 15846975406080.

The previous prime is 84327644903027. The next prime is 84327644903057. The reversal of 84327644903040 is 4030944672348.

84327644903040 is a `hidden beast` number, since 8 + 4 + 3 + 27 + 64 + 490 + 30 + 40 = 666.

It is a super-2 number, since 2×84327644903040² (a number of 29 digits) contains 22 as substring.

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 863 ways as a sum of consecutive naturals, for example, 1591087639654 + ... + 1591087639706.

Almost surely, 2^{84327644903040} is an apocalyptic number.

84327644903040 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 84327644903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211331444126400).

84327644903040 is an abundant number, since it is smaller than the sum of its proper divisors (338335243349760).

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

84327644903040 is a wasteful number, since it uses less digits than its factorization.

84327644903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 84327644903040 in words is "eighty-four trillion, three hundred twenty-seven billion, six hundred forty-four million, nine hundred three thousand, forty".