5507078400 has 324 divisors, whose sum is σ = 19996918032. Its totient is φ = 1445621760.

The previous prime is 5507078383. The next prime is 5507078419. The reversal of 5507078400 is 48707055.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3858487 + ... + 3859913.

Almost surely, 2^5507078400 is an apocalyptic number.

5507078400 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 5507078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9998459016).

5507078400 is an abundant number, since it is smaller than the sum of its proper divisors (14489839632).

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

5507078400 is a wasteful number, since it uses less digits than its factorization.

5507078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 5507078400 is about 74209.6920893760. The cubic root of 5507078400 is about 1765.9310920598.

The spelling of 5507078400 in words is "five billion, five hundred seven million, seventy-eight thousand, four hundred".