824107672960 has 512 divisors, whose sum is σ = 2382649758720. Its totient is φ = 268566036480.

The previous prime is 824107672943. The next prime is 824107672961. The reversal of 824107672960 is 69276701428.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 824107672898 and 824107672907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824107672961) 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, 775265389 + ... + 775266451.

It is an arithmetic number, because the mean of its divisors is an integer number (4653612810).

Almost surely, 2^824107672960 is an apocalyptic number.

824107672960 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 824107672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191324879360).

824107672960 is an abundant number, since it is smaller than the sum of its proper divisors (1558542085760).

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

824107672960 is a wasteful number, since it uses less digits than its factorization.

824107672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 824107672960 in words is "eight hundred twenty-four billion, one hundred seven million, six hundred seventy-two thousand, nine hundred sixty".