5633086342464 has 336 divisors, whose sum is σ = 18672305348736. Its totient is φ = 1590386688000.

The previous prime is 5633086342421. The next prime is 5633086342483. The reversal of 5633086342464 is 4642436803365.

5633086342464 is a `hidden beast` number, since 5 + 6 + 330 + 8 + 63 + 4 + 246 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 5633086342464.

It is a congruent number.

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, 172984744 + ... + 173017304.

Almost surely, 2^{5633086342464} 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 5633086342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9336152674368).

5633086342464 is an abundant number, since it is smaller than the sum of its proper divisors (13039219006272).

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

5633086342464 is a wasteful number, since it uses less digits than its factorization.

5633086342464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33094 (or 33081 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 54.

The spelling of 5633086342464 in words is "five trillion, six hundred thirty-three billion, eighty-six million, three hundred forty-two thousand, four hundred sixty-four".