5657833746432 has 832 divisors, whose sum is σ = 20103277455360. Its totient is φ = 1537437597696.

The previous prime is 5657833746361. The next prime is 5657833746463. The reversal of 5657833746432 is 2346473387565.

5657833746432 is a `hidden beast` number, since 5 + 6 + 57 + 83 + 3 + 74 + 6 + 432 = 666.

It is a super-2 number, since 2×5657833746432² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 5657833746432.

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, 3507645658 + ... + 3507647270.

Almost surely, 2^{5657833746432} 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 5657833746432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10051638727680).

5657833746432 is an abundant number, since it is smaller than the sum of its proper divisors (14445443708928).

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

5657833746432 is a wasteful number, since it uses less digits than its factorization.

5657833746432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1845 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 63.

The spelling of 5657833746432 in words is "five trillion, six hundred fifty-seven billion, eight hundred thirty-three million, seven hundred forty-six thousand, four hundred thirty-two".