6438858928740 has 360 divisors, whose sum is σ = 23564539595520. Its totient is φ = 1467491582592.

The previous prime is 6438858928727. The next prime is 6438858928759. The reversal of 6438858928740 is 478298588346.

6438858928740 is a `hidden beast` number, since 6 + 4 + 38 + 8 + 589 + 2 + 8 + 7 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27427981 + ... + 27661739.

It is an arithmetic number, because the mean of its divisors is an integer number (65457054432).

Almost surely, 2^{6438858928740} is an apocalyptic number.

6438858928740 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 6438858928740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11782269797760).

6438858928740 is an abundant number, since it is smaller than the sum of its proper divisors (17125680666780).

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

6438858928740 is a wasteful number, since it uses less digits than its factorization.

6438858928740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234141 (or 234123 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 6438858928740 in words is "six trillion, four hundred thirty-eight billion, eight hundred fifty-eight million, nine hundred twenty-eight thousand, seven hundred forty".