5490536400 has 420 divisors, whose sum is σ = 20839400320. Its totient is φ = 1385683200.

The previous prime is 5490536383. The next prime is 5490536407. The reversal of 5490536400 is 46350945.

It is a happy number.

5490536400 is a `hidden beast` number, since 5 + 4 + 9 + 0 + 5 + 3 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5490536407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5539905 + ... + 5540895.

Almost surely, 2^5490536400 is an apocalyptic number.

5490536400 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 5490536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10419700160).

5490536400 is an abundant number, since it is smaller than the sum of its proper divisors (15348863920).

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

5490536400 is a wasteful number, since it uses less digits than its factorization.

5490536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5490536400 is about 74098.1538231554. The cubic root of 5490536400 is about 1764.1611681149.

The spelling of 5490536400 in words is "five billion, four hundred ninety million, five hundred thirty-six thousand, four hundred".