832072471078464 has 2352 divisors, whose sum is σ = 3270068476595712. Its totient is φ = 209127308544000.

The previous prime is 832072471078447. The next prime is 832072471078477. The reversal of 832072471078464 is 464870174270238.

832072471078464 is a `hidden beast` number, since 8 + 3 + 20 + 7 + 2 + 47 + 107 + 8 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 94328583174 + ... + 94328591994.

Almost surely, 2^{832072471078464} is an apocalyptic number.

832072471078464 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 832072471078464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635034238297856).

832072471078464 is an abundant number, since it is smaller than the sum of its proper divisors (2437996005517248).

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

832072471078464 is an equidigital number, since it uses as much as digits as its factorization.

832072471078464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8929 (or 8875 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 63.

The spelling of 832072471078464 in words is "eight hundred thirty-two trillion, seventy-two billion, four hundred seventy-one million, seventy-eight thousand, four hundred sixty-four".