32790078720 has 1296 divisors, whose sum is σ = 145933260480. Its totient is φ = 6948716544.

The previous prime is 32790078709. The next prime is 32790078749. The reversal of 32790078720 is 2787009723.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 489404127 + ... + 489404193.

Almost surely, 2^32790078720 is an apocalyptic number.

32790078720 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 32790078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72966630240).

32790078720 is an abundant number, since it is smaller than the sum of its proper divisors (113143181760).

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

32790078720 is a wasteful number, since it uses less digits than its factorization.

32790078720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 32790078720 in words is "thirty-two billion, seven hundred ninety million, seventy-eight thousand, seven hundred twenty".