32970147840 has 720 divisors, whose sum is σ = 134200111500. Its totient is φ = 7485456384.

The previous prime is 32970147839. The next prime is 32970147901. The reversal of 32970147840 is 4874107923.

It can be written as a sum of positive squares in 2 ways, for example, as 30292706304 + 2677441536 = 174048^2 + 51744^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 221276086 + ... + 221276234.

Almost surely, 2^32970147840 is an apocalyptic number.

32970147840 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 32970147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67100055750).

32970147840 is an abundant number, since it is smaller than the sum of its proper divisors (101229963660).

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

32970147840 is an equidigital number, since it uses as much as digits as its factorization.

32970147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 32970147840 in words is "thirty-two billion, nine hundred seventy million, one hundred forty-seven thousand, eight hundred forty".