6417978138 has 240 divisors, whose sum is σ = 17237528352. Its totient is φ = 1769040000.

The previous prime is 6417978113. The next prime is 6417978191. The reversal of 6417978138 is 8318797146.

6417978138 is a `hidden beast` number, since 6 + 417 + 97 + 8 + 138 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30416853 + ... + 30417063.

Almost surely, 2^6417978138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6417978138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8618764176).

6417978138 is an abundant number, since it is smaller than the sum of its proper divisors (10819550214).

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

6417978138 is a wasteful number, since it uses less digits than its factorization.

6417978138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 341 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 6417978138 is about 80112.2845636049. The cubic root of 6417978138 is about 1858.3723898959.

The spelling of 6417978138 in words is "six billion, four hundred seventeen million, nine hundred seventy-eight thousand, one hundred thirty-eight".