827462974464 has 704 divisors, whose sum is σ = 2912307840000. Its totient is φ = 227078111232.

The previous prime is 827462974463. The next prime is 827462974469. The reversal of 827462974464 is 464479264728.

827462974464 is a `hidden beast` number, since 8 + 27 + 4 + 62 + 97 + 4 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827462974463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2127153982 + ... + 2127154370.

Almost surely, 2^827462974464 is an apocalyptic number.

827462974464 is a gapful number since it is divisible by the number (84) 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 827462974464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456153920000).

827462974464 is an abundant number, since it is smaller than the sum of its proper divisors (2084844865536).

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

827462974464 is a wasteful number, since it uses less digits than its factorization.

827462974464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 809 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 827462974464 in words is "eight hundred twenty-seven billion, four hundred sixty-two million, nine hundred seventy-four thousand, four hundred sixty-four".