46087755840 has 1120 divisors, whose sum is σ = 204467155200. Its totient is φ = 9614868480.

The previous prime is 46087755839. The next prime is 46087755853. The reversal of 46087755840 is 4855778064.

46087755840 is a `hidden beast` number, since 4 + 6 + 0 + 87 + 7 + 558 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 99973210 + ... + 99973670.

It is an arithmetic number, because the mean of its divisors is an integer number (182559960).

Almost surely, 2^46087755840 is an apocalyptic number.

46087755840 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 46087755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102233577600).

46087755840 is an abundant number, since it is smaller than the sum of its proper divisors (158379399360).

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

46087755840 is a wasteful number, since it uses less digits than its factorization.

46087755840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 46087755840 in words is "forty-six billion, eighty-seven million, seven hundred fifty-five thousand, eight hundred forty".