6379493405040 has 2520 divisors, whose sum is σ = 28168817999904. Its totient is φ = 1336414464000.

The previous prime is 6379493405027. The next prime is 6379493405057. The reversal of 6379493405040 is 405043949736.

It is a happy number.

6379493405040 is a `hidden beast` number, since 6 + 3 + 7 + 9 + 4 + 93 + 40 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×6379493405040² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 63163300990 + ... + 63163301090.

Almost surely, 2^{6379493405040} is an apocalyptic number.

6379493405040 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 6379493405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14084408999952).

6379493405040 is an abundant number, since it is smaller than the sum of its proper divisors (21789324594864).

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

6379493405040 is a wasteful number, since it uses less digits than its factorization.

6379493405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 6379493405040 in words is "six trillion, three hundred seventy-nine billion, four hundred ninety-three million, four hundred five thousand, forty".