825478672480 has 768 divisors, whose sum is σ = 2647572480000. Its totient is φ = 240400742400.

The previous prime is 825478672477. The next prime is 825478672489. The reversal of 825478672480 is 84276874528.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825478672489) 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, 906123225 + ... + 906124135.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360000).

Almost surely, 2^825478672480 is an apocalyptic number.

825478672480 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 825478672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323786240000).

825478672480 is an abundant number, since it is smaller than the sum of its proper divisors (1822093807520).

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

825478672480 is a wasteful number, since it uses less digits than its factorization.

825478672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 61.

The spelling of 825478672480 in words is "eight hundred twenty-five billion, four hundred seventy-eight million, six hundred seventy-two thousand, four hundred eighty".