46584107640 has 320 divisors, whose sum is σ = 179256369600. Its totient is φ = 10629107712.

The previous prime is 46584107639. The next prime is 46584107677. The reversal of 46584107640 is 4670148564.

46584107640 is a `hidden beast` number, since 4 + 6 + 584 + 1 + 0 + 7 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16078672 + ... + 16081568.

It is an arithmetic number, because the mean of its divisors is an integer number (560176155).

Almost surely, 2^46584107640 is an apocalyptic number.

46584107640 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 46584107640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89628184800).

46584107640 is an abundant number, since it is smaller than the sum of its proper divisors (132672261960).

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

46584107640 is a wasteful number, since it uses less digits than its factorization.

46584107640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 46584107640 in words is "forty-six billion, five hundred eighty-four million, one hundred seven thousand, six hundred forty".