6483401701920 has 1728 divisors, whose sum is σ = 27285537097728. Its totient is φ = 1441110528000.

The previous prime is 6483401701919. The next prime is 6483401701979. The reversal of 6483401701920 is 291071043846.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19587316155 + ... + 19587316485.

It is an arithmetic number, because the mean of its divisors is an integer number (15790241376).

Almost surely, 2^{6483401701920} is an apocalyptic number.

6483401701920 is a gapful number since it is divisible by the number (60) 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 6483401701920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13642768548864).

6483401701920 is an abundant number, since it is smaller than the sum of its proper divisors (20802135395808).

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

6483401701920 is a wasteful number, since it uses less digits than its factorization.

6483401701920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 6483401701920 in words is "six trillion, four hundred eighty-three billion, four hundred one million, seven hundred one thousand, nine hundred twenty".