32450372640 has 288 divisors, whose sum is σ = 128448028800. Its totient is φ = 7306371072.

The previous prime is 32450372639. The next prime is 32450372653. The reversal of 32450372640 is 4627305423.

32450372640 is a `hidden beast` number, since 3 + 2 + 4 + 5 + 0 + 3 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32450372595 and 32450372604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651336 + ... + 699384.

It is an arithmetic number, because the mean of its divisors is an integer number (446000100).

Almost surely, 2^32450372640 is an apocalyptic number.

32450372640 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 32450372640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64224014400).

32450372640 is an abundant number, since it is smaller than the sum of its proper divisors (95997656160).

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

32450372640 is a wasteful number, since it uses less digits than its factorization.

32450372640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48144 (or 48133 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 32450372640 in words is "thirty-two billion, four hundred fifty million, three hundred seventy-two thousand, six hundred forty".