46887871680 has 896 divisors, whose sum is σ = 190078156800. Its totient is φ = 10785374208.

The previous prime is 46887871637. The next prime is 46887871687. The reversal of 46887871680 is 8617878864.

46887871680 is a `hidden beast` number, since 468 + 8 + 7 + 8 + 7 + 168 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (46887871687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 271028074 + ... + 271028246.

It is an arithmetic number, because the mean of its divisors is an integer number (212140800).

Almost surely, 2^46887871680 is an apocalyptic number.

46887871680 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 46887871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95039078400).

46887871680 is an abundant number, since it is smaller than the sum of its proper divisors (143190285120).

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

46887871680 is a wasteful number, since it uses less digits than its factorization.

46887871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 46887871680 in words is "forty-six billion, eight hundred eighty-seven million, eight hundred seventy-one thousand, six hundred eighty".