46268864640 has 384 divisors, whose sum is σ = 170509173120. Its totient is φ = 11520737280.

The previous prime is 46268864611. The next prime is 46268864659. The reversal of 46268864640 is 4646886264.

46268864640 is a `hidden beast` number, since 4 + 626 + 8 + 8 + 6 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12825717 + ... + 12829323.

It is an arithmetic number, because the mean of its divisors is an integer number (444034305).

Almost surely, 2^46268864640 is an apocalyptic number.

46268864640 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 46268864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85254586560).

46268864640 is an abundant number, since it is smaller than the sum of its proper divisors (124240308480).

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

46268864640 is a wasteful number, since it uses less digits than its factorization.

46268864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 46268864640 in words is "forty-six billion, two hundred sixty-eight million, eight hundred sixty-four thousand, six hundred forty".