825407004600 has 384 divisors, whose sum is σ = 2863316736000. Its totient is φ = 218546864640.

The previous prime is 825407004563. The next prime is 825407004641. The reversal of 825407004600 is 6400704528.

825407004600 is a `hidden beast` number, since 8 + 2 + 5 + 40 + 7 + 0 + 0 + 4 + 600 = 666.

825407004600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 622009137 + ... + 622010463.

It is an arithmetic number, because the mean of its divisors is an integer number (7456554000).

Almost surely, 2^825407004600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825407004600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431658368000).

825407004600 is an abundant number, since it is smaller than the sum of its proper divisors (2037909731400).

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

825407004600 is a wasteful number, since it uses less digits than its factorization.

825407004600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 825407004600 in words is "eight hundred twenty-five billion, four hundred seven million, four thousand, six hundred".