32893378560 has 672 divisors, whose sum is σ = 136264619520. Its totient is φ = 7506100224.

The previous prime is 32893378541. The next prime is 32893378589. The reversal of 32893378560 is 6587339823.

32893378560 is a `hidden beast` number, since 3 + 2 + 8 + 9 + 3 + 3 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 32893378497 and 32893378506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54189777 + ... + 54190383.

Almost surely, 2^32893378560 is an apocalyptic number.

32893378560 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 32893378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68132309760).

32893378560 is an abundant number, since it is smaller than the sum of its proper divisors (103371240960).

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

32893378560 is an equidigital number, since it uses as much as digits as its factorization.

32893378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 32893378560 in words is "thirty-two billion, eight hundred ninety-three million, three hundred seventy-eight thousand, five hundred sixty".