5542782336 has 384 divisors, whose sum is σ = 20175355200. Its totient is φ = 1421328384.

The previous prime is 5542782313. The next prime is 5542782337. The reversal of 5542782336 is 6332872455.

5542782336 is a `hidden beast` number, since 5 + 542 + 78 + 2 + 3 + 36 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5542782291 and 5542782300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5542782337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3878070 + ... + 3879498.

Almost surely, 2^5542782336 is an apocalyptic number.

5542782336 is a gapful number since it is divisible by the number (56) 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 5542782336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10087677600).

5542782336 is an abundant number, since it is smaller than the sum of its proper divisors (14632572864).

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

5542782336 is a wasteful number, since it uses less digits than its factorization.

5542782336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1491 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 5542782336 is about 74449.8645801320. The cubic root of 5542782336 is about 1769.7392165826.

The spelling of 5542782336 in words is "five billion, five hundred forty-two million, seven hundred eighty-two thousand, three hundred thirty-six".