5276678400 has 648 divisors, whose sum is σ = 22537307520. Its totient is φ = 1151631360.

The previous prime is 5276678353. The next prime is 5276678411. The reversal of 5276678400 is 48766725.

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

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 71 ways as a sum of consecutive naturals, for example, 9273316 + ... + 9273884.

Almost surely, 2^5276678400 is an apocalyptic number.

5276678400 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 5276678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11268653760).

5276678400 is an abundant number, since it is smaller than the sum of its proper divisors (17260629120).

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

5276678400 is a wasteful number, since it uses less digits than its factorization.

5276678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 5276678400 is about 72640.7488948180. The cubic root of 5276678400 is about 1740.9523126263.

The spelling of 5276678400 in words is "five billion, two hundred seventy-six million, six hundred seventy-eight thousand, four hundred".