32425770666240 has 864 divisors, whose sum is σ = 133976967183360. Its totient is φ = 7404730712064.

The previous prime is 32425770666227. The next prime is 32425770666241. The reversal of 32425770666240 is 4266607752423.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (32425770666241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1952528017 + ... + 1952544623.

It is an arithmetic number, because the mean of its divisors is an integer number (155065934240).

Almost surely, 2^{32425770666240} is an apocalyptic number.

32425770666240 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 32425770666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66988483591680).

32425770666240 is an abundant number, since it is smaller than the sum of its proper divisors (101551196517120).

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

32425770666240 is a wasteful number, since it uses less digits than its factorization.

32425770666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17804 (or 17777 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 32425770666240 in words is "thirty-two trillion, four hundred twenty-five billion, seven hundred seventy million, six hundred sixty-six thousand, two hundred forty".