32082603456960 has 1120 divisors, whose sum is σ = 135193942659072. Its totient is φ = 7096310415360.

The previous prime is 32082603456947. The next prime is 32082603457027. The reversal of 32082603456960 is 6965430628023.

It is a happy number.

32082603456960 is a `hidden beast` number, since 3 + 20 + 8 + 2 + 603 + 4 + 5 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a junction number, because it is equal to n+sod(n) for n = 32082603456897 and 32082603456906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1366775784 + ... + 1366799256.

Almost surely, 2^{32082603456960} is an apocalyptic number.

32082603456960 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 32082603456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67596971329536).

32082603456960 is an abundant number, since it is smaller than the sum of its proper divisors (103111339202112).

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

32082603456960 is an frugal number, since it uses more digits than its factorization.

32082603456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23555 (or 23521 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 32082603456960 in words is "thirty-two trillion, eighty-two billion, six hundred three million, four hundred fifty-six thousand, nine hundred sixty".