6781503061032 has 256 divisors, whose sum is σ = 20270974464000. Its totient is φ = 1850635358208.

The previous prime is 6781503061001. The next prime is 6781503061033. The reversal of 6781503061032 is 2301603051876.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6781503061033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54046944 + ... + 54172272.

It is an arithmetic number, because the mean of its divisors is an integer number (79183494000).

Almost surely, 2^{6781503061032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6781503061032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10135487232000).

6781503061032 is an abundant number, since it is smaller than the sum of its proper divisors (13489471402968).

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

6781503061032 is a wasteful number, since it uses less digits than its factorization.

6781503061032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125560 (or 125556 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 6781503061032 in words is "six trillion, seven hundred eighty-one billion, five hundred three million, sixty-one thousand, thirty-two".