46874286627840 has 2288 divisors, whose sum is σ = 203020606351872. Its totient is φ = 10152512815104.

The previous prime is 46874286627821. The next prime is 46874286627869. The reversal of 46874286627840 is 4872668247864.

46874286627840 is a `hidden beast` number, since 4 + 6 + 8 + 74 + 286 + 6 + 278 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 207 ways as a sum of consecutive naturals, for example, 438077445067 + ... + 438077445173.

Almost surely, 2^{46874286627840} is an apocalyptic number.

46874286627840 is a gapful number since it is divisible by the number (40) 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 46874286627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101510303175936).

46874286627840 is an abundant number, since it is smaller than the sum of its proper divisors (156146319724032).

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

46874286627840 is an frugal number, since it uses more digits than its factorization.

46874286627840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1387266048, while the sum is 72.

The spelling of 46874286627840 in words is "forty-six trillion, eight hundred seventy-four billion, two hundred eighty-six million, six hundred twenty-seven thousand, eight hundred forty".