827357207040 has 3840 divisors, whose sum is σ = 4137935155200. Its totient is φ = 154506756096.

The previous prime is 827357207009. The next prime is 827357207087. The reversal of 827357207040 is 40702753728.

827357207040 is a `hidden beast` number, since 8 + 2 + 7 + 3 + 572 + 0 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19240865259 + ... + 19240865301.

It is an arithmetic number, because the mean of its divisors is an integer number (1077587280).

Almost surely, 2^827357207040 is an apocalyptic number.

827357207040 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 827357207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068967577600).

827357207040 is an abundant number, since it is smaller than the sum of its proper divisors (3310577948160).

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

827357207040 is a wasteful number, since it uses less digits than its factorization.

827357207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 827357207040 in words is "eight hundred twenty-seven billion, three hundred fifty-seven million, two hundred seven thousand, forty".