5662782900 has 180 divisors, whose sum is σ = 18579873312. Its totient is φ = 1491704640.

The previous prime is 5662782893. The next prime is 5662782901. The reversal of 5662782900 is 92872665.

5662782900 is a `hidden beast` number, since 566 + 2 + 7 + 82 + 9 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×5662782900² = 64134220345064820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5662782901) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 668089 + ... + 676511.

Almost surely, 2^5662782900 is an apocalyptic number.

5662782900 is a gapful number since it is divisible by the number (50) 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 5662782900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9289936656).

5662782900 is an abundant number, since it is smaller than the sum of its proper divisors (12917090412).

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

5662782900 is a wasteful number, since it uses less digits than its factorization.

5662782900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8532 (or 8516 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5662782900 is about 75251.4644375776. The cubic root of 5662782900 is about 1782.4196882458.

The spelling of 5662782900 in words is "five billion, six hundred sixty-two million, seven hundred eighty-two thousand, nine hundred".