32790411840 has 224 divisors, whose sum is σ = 108825889536. Its totient is φ = 8349327360.

The previous prime is 32790411833. The next prime is 32790411847. The reversal of 32790411840 is 4811409723.

It is an interprime number because it is at equal distance from previous prime (32790411833) and next prime (32790411847).

It is a super-2 number, since 2×32790411840² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32790411847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18833370 + ... + 18835110.

It is an arithmetic number, because the mean of its divisors is an integer number (485829864).

Almost surely, 2^32790411840 is an apocalyptic number.

32790411840 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 32790411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54412944768).

32790411840 is an abundant number, since it is smaller than the sum of its proper divisors (76035477696).

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

32790411840 is a wasteful number, since it uses less digits than its factorization.

32790411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 32790411840 in words is "thirty-two billion, seven hundred ninety million, four hundred eleven thousand, eight hundred forty".