84192575040 has 896 divisors, whose sum is σ = 366228172800. Its totient is φ = 17776558080.

The previous prime is 84192575017. The next prime is 84192575057. The reversal of 84192575040 is 4057529148.

84192575040 is a `hidden beast` number, since 8 + 4 + 1 + 92 + 57 + 504 + 0 = 666.

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

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, 47113027 + ... + 47114813.

It is an arithmetic number, because the mean of its divisors is an integer number (408736800).

Almost surely, 2^84192575040 is an apocalyptic number.

84192575040 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 84192575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183114086400).

84192575040 is an abundant number, since it is smaller than the sum of its proper divisors (282035597760).

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

84192575040 is a wasteful number, since it uses less digits than its factorization.

84192575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 84192575040 in words is "eighty-four billion, one hundred ninety-two million, five hundred seventy-five thousand, forty".