46838787840 has 1440 divisors, whose sum is σ = 199442073600. Its totient is φ = 10391224320.

The previous prime is 46838787833. The next prime is 46838787881. The reversal of 46838787840 is 4878783864.

46838787840 is a `hidden beast` number, since 468 + 38 + 78 + 78 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 793877731 + ... + 793877789.

It is an arithmetic number, because the mean of its divisors is an integer number (138501440).

Almost surely, 2^46838787840 is an apocalyptic number.

46838787840 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 46838787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99721036800).

46838787840 is an abundant number, since it is smaller than the sum of its proper divisors (152603285760).

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

46838787840 is a wasteful number, since it uses less digits than its factorization.

46838787840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 46838787840 in words is "forty-six billion, eight hundred thirty-eight million, seven hundred eighty-seven thousand, eight hundred forty".