32180990400 has 504 divisors, whose sum is σ = 124447625120. Its totient is φ = 7839866880.

The previous prime is 32180990399. The next prime is 32180990417. The reversal of 32180990400 is 409908123.

It is a super-2 number, since 2×32180990400² (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 71 ways as a sum of consecutive naturals, for example, 19280766 + ... + 19282434.

Almost surely, 2^32180990400 is an apocalyptic number.

32180990400 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 32180990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62223812560).

32180990400 is an abundant number, since it is smaller than the sum of its proper divisors (92266634720).

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

32180990400 is a wasteful number, since it uses less digits than its factorization.

32180990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 32180990400 in words is "thirty-two billion, one hundred eighty million, nine hundred ninety thousand, four hundred".