827646555840 has 896 divisors, whose sum is σ = 3060315675648. Its totient is φ = 187705589760.

The previous prime is 827646555829. The next prime is 827646555847. The reversal of 827646555840 is 48555646728.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (827646555847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2695916967 + ... + 2695917273.

It is an arithmetic number, because the mean of its divisors is an integer number (3415530888).

Almost surely, 2^827646555840 is an apocalyptic number.

827646555840 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 827646555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530157837824).

827646555840 is an abundant number, since it is smaller than the sum of its proper divisors (2232669119808).

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

827646555840 is a wasteful number, since it uses less digits than its factorization.

827646555840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 60.

The spelling of 827646555840 in words is "eight hundred twenty-seven billion, six hundred forty-six million, five hundred fifty-five thousand, eight hundred forty".