32638971240 has 192 divisors, whose sum is σ = 109736640000. Its totient is φ = 8404646400.

The previous prime is 32638971221. The next prime is 32638971247. The reversal of 32638971240 is 4217983623.

32638971240 is a `hidden beast` number, since 3 + 2 + 638 + 9 + 7 + 1 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (32638971247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5565910 + ... + 5571770.

It is an arithmetic number, because the mean of its divisors is an integer number (571545000).

Almost surely, 2^32638971240 is an apocalyptic number.

32638971240 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 32638971240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54868320000).

32638971240 is an abundant number, since it is smaller than the sum of its proper divisors (77097668760).

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

32638971240 is a wasteful number, since it uses less digits than its factorization.

32638971240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6408 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 32638971240 in words is "thirty-two billion, six hundred thirty-eight million, nine hundred seventy-one thousand, two hundred forty".