53832658464 has 432 divisors, whose sum is σ = 176389641792. Its totient is φ = 15451831296.

The previous prime is 53832658463. The next prime is 53832658469. The reversal of 53832658464 is 46485623835.

53832658464 is a `hidden beast` number, since 5 + 38 + 3 + 26 + 584 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 53832658464.

It is not an unprimeable number, because it can be changed into a prime (53832658463) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 190221267 + ... + 190221549.

It is an arithmetic number, because the mean of its divisors is an integer number (408309356).

Almost surely, 2^53832658464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53832658464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88194820896).

53832658464 is an abundant number, since it is smaller than the sum of its proper divisors (122556983328).

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

53832658464 is a wasteful number, since it uses less digits than its factorization.

53832658464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 371 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 53832658464 in words is "fifty-three billion, eight hundred thirty-two million, six hundred fifty-eight thousand, four hundred sixty-four".