5036774400 has 660 divisors, whose sum is σ = 21376378848. Its totient is φ = 1147944960.

The previous prime is 5036774389. The next prime is 5036774417. The reversal of 5036774400 is 44776305.

It is a super-3 number, since 3×5036774400³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14515027 + ... + 14515373.

Almost surely, 2^5036774400 is an apocalyptic number.

5036774400 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 5036774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10688189424).

5036774400 is an abundant number, since it is smaller than the sum of its proper divisors (16339604448).

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

5036774400 is a wasteful number, since it uses less digits than its factorization.

5036774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 5036774400 is about 70970.2360148253. The cubic root of 5036774400 is about 1714.1579333327.

The spelling of 5036774400 in words is "five billion, thirty-six million, seven hundred seventy-four thousand, four hundred".