84127193640 has 384 divisors, whose sum is σ = 323463628800. Its totient is φ = 18556231680.

The previous prime is 84127193629. The next prime is 84127193641. The reversal of 84127193640 is 4639172148.

84127193640 is a `hidden beast` number, since 8 + 412 + 7 + 193 + 6 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (84127193641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31949764 + ... + 31952396.

It is an arithmetic number, because the mean of its divisors is an integer number (842353200).

Almost surely, 2^84127193640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84127193640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161731814400).

84127193640 is an abundant number, since it is smaller than the sum of its proper divisors (239336435160).

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

84127193640 is a wasteful number, since it uses less digits than its factorization.

84127193640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 84127193640 in words is "eighty-four billion, one hundred twenty-seven million, one hundred ninety-three thousand, six hundred forty".