5507838336 has 768 divisors, whose sum is σ = 21097843200. Its totient is φ = 1248952320.

The previous prime is 5507838257. The next prime is 5507838337. The reversal of 5507838336 is 6338387055.

It is a super-2 number, since 2×5507838336² = 60672566271022497792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5507838337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61885780 + ... + 61885868.

It is an arithmetic number, because the mean of its divisors is an integer number (27471150).

Almost surely, 2^5507838336 is an apocalyptic number.

5507838336 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 5507838336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10548921600).

5507838336 is an abundant number, since it is smaller than the sum of its proper divisors (15590004864).

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

5507838336 is a wasteful number, since it uses less digits than its factorization.

5507838336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The square root of 5507838336 is about 74214.8121064791. The cubic root of 5507838336 is about 1766.0123167909.

The spelling of 5507838336 in words is "five billion, five hundred seven million, eight hundred thirty-eight thousand, three hundred thirty-six".