32504734080 has 768 divisors, whose sum is σ = 144266270400. Its totient is φ = 6855819264.

The previous prime is 32504734069. The next prime is 32504734091. The reversal of 32504734080 is 8043740523.

It is a happy number.

32504734080 is a `hidden beast` number, since 3 + 2 + 504 + 73 + 4 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (32504734069) and next prime (32504734091).

It is a super-2 number, since 2×32504734080² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11005884 + ... + 11008836.

Almost surely, 2^32504734080 is an apocalyptic number.

32504734080 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 32504734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72133135200).

32504734080 is an abundant number, since it is smaller than the sum of its proper divisors (111761536320).

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

32504734080 is a wasteful number, since it uses less digits than its factorization.

32504734080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 32504734080 in words is "thirty-two billion, five hundred four million, seven hundred thirty-four thousand, eighty".