32672710400 has 324 divisors, whose sum is σ = 91825081152. Its totient is φ = 11489280000.

The previous prime is 32672710361. The next prime is 32672710409. The reversal of 32672710400 is 401727623.

It is a super-3 number, since 3×32672710400³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32672710409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24005720 + ... + 24007080.

Almost surely, 2^32672710400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32672710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45912540576).

32672710400 is an abundant number, since it is smaller than the sum of its proper divisors (59152370752).

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

32672710400 is a wasteful number, since it uses less digits than its factorization.

32672710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The spelling of 32672710400 in words is "thirty-two billion, six hundred seventy-two million, seven hundred ten thousand, four hundred".