875432940480 has 2240 divisors, whose sum is σ = 3995164293120. Its totient is φ = 177367449600.

The previous prime is 875432940469. The next prime is 875432940493. The reversal of 875432940480 is 84049234578.

875432940480 is a `hidden beast` number, since 8 + 7 + 543 + 2 + 94 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4836645990 + ... + 4836646170.

It is an arithmetic number, because the mean of its divisors is an integer number (1783555488).

Almost surely, 2^875432940480 is an apocalyptic number.

875432940480 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 875432940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997582146560).

875432940480 is an abundant number, since it is smaller than the sum of its proper divisors (3119731352640).

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

875432940480 is a wasteful number, since it uses less digits than its factorization.

875432940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 875432940480 in words is "eight hundred seventy-five billion, four hundred thirty-two million, nine hundred forty thousand, four hundred eighty".