46010816640 has 512 divisors, whose sum is σ = 168844435200. Its totient is φ = 11833344000.

The previous prime is 46010816639. The next prime is 46010816671. The reversal of 46010816640 is 4661801064.

46010816640 is a `hidden beast` number, since 4 + 6 + 0 + 1 + 0 + 8 + 1 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46010816595 and 46010816604.

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, 71556159 + ... + 71556801.

Almost surely, 2^46010816640 is an apocalyptic number.

46010816640 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 46010816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84422217600).

46010816640 is an abundant number, since it is smaller than the sum of its proper divisors (122833618560).

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

46010816640 is a wasteful number, since it uses less digits than its factorization.

46010816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 46010816640 in words is "forty-six billion, ten million, eight hundred sixteen thousand, six hundred forty".