32472760320 has 1224 divisors, whose sum is σ = 152289822048. Its totient is φ = 6228541440.

The previous prime is 32472760303. The next prime is 32472760357. The reversal of 32472760320 is 2306727423.

32472760320 is a `hidden beast` number, since 3 + 2 + 4 + 7 + 27 + 603 + 20 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2497904634 + ... + 2497904646.

Almost surely, 2^32472760320 is an apocalyptic number.

32472760320 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 32472760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76144911024).

32472760320 is an abundant number, since it is smaller than the sum of its proper divisors (119817061728).

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

32472760320 is a wasteful number, since it uses less digits than its factorization.

32472760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 32472760320 in words is "thirty-two billion, four hundred seventy-two million, seven hundred sixty thousand, three hundred twenty".