5633700367680 has 672 divisors, whose sum is σ = 24992162807040. Its totient is φ = 1130270883840.

The previous prime is 5633700367637. The next prime is 5633700367693. The reversal of 5633700367680 is 867630073365.

5633700367680 is a `hidden beast` number, since 563 + 3 + 7 + 0 + 0 + 3 + 6 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×5633700367680³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5993032 + ... + 6869048.

Almost surely, 2^{5633700367680} 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 5633700367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12496081403520).

5633700367680 is an abundant number, since it is smaller than the sum of its proper divisors (19358462439360).

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

5633700367680 is a wasteful number, since it uses less digits than its factorization.

5633700367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876087 (or 876074 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

It can be divided in two parts, 5633700 and 367680, that added together give a triangular number (6001380 = T₃₄₆₄).

The spelling of 5633700367680 in words is "five trillion, six hundred thirty-three billion, seven hundred million, three hundred sixty-seven thousand, six hundred eighty".