6481773968040 has 1280 divisors, whose sum is σ = 27262666506240. Its totient is φ = 1348731648000.

The previous prime is 6481773967997. The next prime is 6481773968053. The reversal of 6481773968040 is 408693771846.

6481773968040 is a `hidden beast` number, since 6 + 481 + 7 + 7 + 39 + 6 + 80 + 40 = 666.

It is a super-2 number, since 2×6481773968040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 986417955 + ... + 986424525.

It is an arithmetic number, because the mean of its divisors is an integer number (21298958208).

Almost surely, 2^{6481773968040} is an apocalyptic number.

6481773968040 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 6481773968040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13631333253120).

6481773968040 is an abundant number, since it is smaller than the sum of its proper divisors (20780892538200).

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

6481773968040 is a wasteful number, since it uses less digits than its factorization.

6481773968040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6716 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 6481773968040 in words is "six trillion, four hundred eighty-one billion, seven hundred seventy-three million, nine hundred sixty-eight thousand, forty".