832272406513920 has 1152 divisors, whose sum is σ = 3172060013875200. Its totient is φ = 206173745971200.

The previous prime is 832272406513841. The next prime is 832272406513969. The reversal of 832272406513920 is 29315604272238.

832272406513920 is a `hidden beast` number, since 8 + 3 + 2 + 2 + 7 + 240 + 6 + 5 + 1 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5374935700 + ... + 5375090540.

It is an arithmetic number, because the mean of its divisors is an integer number (2753524317600).

It is a 1-persistent number, because it is pandigital, but 2⋅832272406513920 = 1664544813027840 is not.

Almost surely, 2^{832272406513920} is an apocalyptic number.

832272406513920 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 832272406513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586030006937600).

832272406513920 is an abundant number, since it is smaller than the sum of its proper divisors (2339787607361280).

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

832272406513920 is a wasteful number, since it uses less digits than its factorization.

832272406513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155104 (or 155084 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 832272406513920 in words is "eight hundred thirty-two trillion, two hundred seventy-two billion, four hundred six million, five hundred thirteen thousand, nine hundred twenty".