32630330400 has 288 divisors, whose sum is σ = 113156507520. Its totient is φ = 8138833920.

The previous prime is 32630330387. The next prime is 32630330401. The reversal of 32630330400 is 403303623.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (32630330401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6811206 + ... + 6815994.

It is an arithmetic number, because the mean of its divisors is an integer number (392904540).

Almost surely, 2^32630330400 is an apocalyptic number.

32630330400 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 32630330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56578253760).

32630330400 is an abundant number, since it is smaller than the sum of its proper divisors (80526177120).

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

32630330400 is a wasteful number, since it uses less digits than its factorization.

32630330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4996 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The spelling of 32630330400 in words is "thirty-two billion, six hundred thirty million, three hundred thirty thousand, four hundred".