32791465200 has 240 divisors, whose sum is σ = 116772970496. Its totient is φ = 7811251200.

The previous prime is 32791465199. The next prime is 32791465241. The reversal of 32791465200 is 256419723.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×32791465200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449697 + ... + 517503.

Almost surely, 2^32791465200 is an apocalyptic number.

32791465200 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 32791465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58386485248).

32791465200 is an abundant number, since it is smaller than the sum of its proper divisors (83981505296).

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

32791465200 is a wasteful number, since it uses less digits than its factorization.

32791465200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67872 (or 67861 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 32791465200 in words is "thirty-two billion, seven hundred ninety-one million, four hundred sixty-five thousand, two hundred".