32470957440 has 768 divisors, whose sum is σ = 129230899200. Its totient is φ = 7458324480.

The previous prime is 32470957439. The next prime is 32470957447. The reversal of 32470957440 is 4475907423.

32470957440 is a `hidden beast` number, since 3 + 2 + 4 + 70 + 9 + 574 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32470957447) 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, 57674599 + ... + 57675161.

It is an arithmetic number, because the mean of its divisors is an integer number (168269400).

Almost surely, 2^32470957440 is an apocalyptic number.

32470957440 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 32470957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64615449600).

32470957440 is an abundant number, since it is smaller than the sum of its proper divisors (96759941760).

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

32470957440 is a wasteful number, since it uses less digits than its factorization.

32470957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 32470957440 in words is "thirty-two billion, four hundred seventy million, nine hundred fifty-seven thousand, four hundred forty".