46884807840 has 384 divisors, whose sum is σ = 162651525120. Its totient is φ = 11281747968.

The previous prime is 46884807839. The next prime is 46884807881. The reversal of 46884807840 is 4870848864.

It is a Cunningham number, because it is equal to 216529²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127751337 + ... + 127751703.

It is an arithmetic number, because the mean of its divisors is an integer number (423571680).

Almost surely, 2^46884807840 is an apocalyptic number.

46884807840 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 46884807840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81325762560).

46884807840 is an abundant number, since it is smaller than the sum of its proper divisors (115766717280).

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

46884807840 is a wasteful number, since it uses less digits than its factorization.

46884807840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 57.

The spelling of 46884807840 in words is "forty-six billion, eight hundred eighty-four million, eight hundred seven thousand, eight hundred forty".