6780036907350 has 768 divisors, whose sum is σ = 22211792640000. Its totient is φ = 1538826387840.

The previous prime is 6780036907313. The next prime is 6780036907363. The reversal of 6780036907350 is 537096300876.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6113648596 + ... + 6113649704.

It is an arithmetic number, because the mean of its divisors is an integer number (28921605000).

Almost surely, 2^{6780036907350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6780036907350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11105896320000).

6780036907350 is an abundant number, since it is smaller than the sum of its proper divisors (15431755732650).

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

6780036907350 is a wasteful number, since it uses less digits than its factorization.

6780036907350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 6780036907350 in words is "six trillion, seven hundred eighty billion, thirty-six million, nine hundred seven thousand, three hundred fifty".