827449136640 has 1920 divisors, whose sum is σ = 3650556349440. Its totient is φ = 175432531968.

The previous prime is 827449136629. The next prime is 827449136671. The reversal of 827449136640 is 46631944728.

827449136640 is a `hidden beast` number, since 8 + 2 + 7 + 449 + 136 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6039774652 + ... + 6039774788.

It is an arithmetic number, because the mean of its divisors is an integer number (1901331432).

Almost surely, 2^827449136640 is an apocalyptic number.

827449136640 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 827449136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825278174720).

827449136640 is an abundant number, since it is smaller than the sum of its proper divisors (2823107212800).

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

827449136640 is a wasteful number, since it uses less digits than its factorization.

827449136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 827449136640 in words is "eight hundred twenty-seven billion, four hundred forty-nine million, one hundred thirty-six thousand, six hundred forty".