32578268473920 has 896 divisors, whose sum is σ = 119334061389312. Its totient is φ = 7459150233600.

The previous prime is 32578268473913. The next prime is 32578268473957. The reversal of 32578268473920 is 2937486287523.

It is a super-2 number, since 2×32578268473920² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7142788440 + ... + 7142793000.

It is an arithmetic number, because the mean of its divisors is an integer number (133185336372).

Almost surely, 2^{32578268473920} is an apocalyptic number.

32578268473920 is a gapful number since it is divisible by the number (30) 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 32578268473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59667030694656).

32578268473920 is an abundant number, since it is smaller than the sum of its proper divisors (86755792915392).

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

32578268473920 is a wasteful number, since it uses less digits than its factorization.

32578268473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 66.

The spelling of 32578268473920 in words is "thirty-two trillion, five hundred seventy-eight billion, two hundred sixty-eight million, four hundred seventy-three thousand, nine hundred twenty".